messages listlengths 3 3 | topic stringclasses 1
value | subtopic stringclasses 40
values |
|---|---|---|
[
{
"role": "system",
"content": "You are a mathematics tutor. Answer the following math problem."
},
{
"role": "user",
"content": "Add the two matrices\n$\\left(\n\\begin{array}{cccc}\n -8 & 8 & -1 & 6 \\\\\n 3 & -9 & -6 & 1 \\\\\n 5 & 1 & 10 & -1 \\\\\n -5 & 0 & 4 & 8 \\\\\n\\end{array}\n\\right... | linear_algebra | add |
[
{
"role": "system",
"content": "You are a mathematics tutor. Answer the following math problem."
},
{
"role": "user",
"content": "Add the two matrices\n$\\left(\n\\begin{array}{cc}\n 6 & -2 \\\\\n 8 & 2 \\\\\n -7 & -10 \\\\\n\\end{array}\n\\right)$ and\n$\\left(\n\\begin{array}{cc}\n 7 & -8 \\\\... | linear_algebra | add |
[
{
"role": "system",
"content": "You are a mathematics tutor. Answer the following math problem."
},
{
"role": "user",
"content": "Add the two matrices\n$\\left(\n\\begin{array}{cccc}\n 3 & \\frac{25}{4} & 5 & 0 \\\\\n -\\frac{19}{4} & -\\frac{1}{4} & -3 & -\\frac{1}{4} \\\\\n 4 & -\\frac{13}{4} ... | linear_algebra | add |
[
{
"role": "system",
"content": "You are a mathematics tutor. Answer the following math problem."
},
{
"role": "user",
"content": "Add the two matrices\n$\\left(\n\\begin{array}{cc}\n -6 & -5 \\\\\n\\end{array}\n\\right)$ and\n$\\left(\n\\begin{array}{cc}\n 8 & -8 \\\\\n\\end{array}\n\\right)$"
... | linear_algebra | add |
[
{
"role": "system",
"content": "You are a mathematics tutor. Answer the following math problem."
},
{
"role": "user",
"content": "Add the two matrices\n$\\left(\n\\begin{array}{c}\n \\frac{38}{7} \\\\\n \\frac{15}{7} \\\\\n -\\frac{50}{7} \\\\\n -\\frac{51}{7} \\\\\n\\end{array}\n\\right)$ and\n... | linear_algebra | add |
[
{
"role": "system",
"content": "You are a mathematics tutor. Answer the following math problem."
},
{
"role": "user",
"content": "Add the two matrices\n$\\left(\n\\begin{array}{c}\n 5 \\\\\n -10 \\\\\n\\end{array}\n\\right)$ and\n$\\left(\n\\begin{array}{c}\n -3 \\\\\n -9 \\\\\n\\end{array}\n\\r... | linear_algebra | add |
[
{
"role": "system",
"content": "You are a mathematics tutor. Answer the following math problem."
},
{
"role": "user",
"content": "Add the two matrices\n$\\left(\n\\begin{array}{cccc}\n \\frac{1}{16} & \\frac{157}{16} & -\\frac{21}{4} & -\\frac{77}{8} \\\\\n -\\frac{81}{16} & -\\frac{1}{8} & \\fr... | linear_algebra | add |
[
{
"role": "system",
"content": "You are a mathematics tutor. Answer the following math problem."
},
{
"role": "user",
"content": "Add the two matrices\n$\\left(\n\\begin{array}{cc}\n 8 & -9 \\\\\n -2 & -8 \\\\\n -2 & -6 \\\\\n\\end{array}\n\\right)$ and\n$\\left(\n\\begin{array}{cc}\n 9 & -5 \\\... | linear_algebra | add |
[
{
"role": "system",
"content": "You are a mathematics tutor. Answer the following math problem."
},
{
"role": "user",
"content": "Add the two matrices\n$\\left(\n\\begin{array}{cc}\n -6 & -8 \\\\\n 2 & 5 \\\\\n\\end{array}\n\\right)$ and\n$\\left(\n\\begin{array}{cc}\n -3 & -4 \\\\\n -7 & -3 \\\... | linear_algebra | add |
[
{
"role": "system",
"content": "You are a mathematics tutor. Answer the following math problem."
},
{
"role": "user",
"content": "Add the two matrices\n$\\left(\n\\begin{array}{c}\n -3 \\\\\n 1 \\\\\n\\end{array}\n\\right)$ and\n$\\left(\n\\begin{array}{c}\n -7 \\\\\n 8 \\\\\n\\end{array}\n\\rig... | linear_algebra | add |
[
{
"role": "system",
"content": "You are a mathematics tutor. Answer the following math problem."
},
{
"role": "user",
"content": "Add the two matrices\n$\\left(\n\\begin{array}{cccc}\n 9 & 10 & 1 & 0 \\\\\n -8 & \\frac{19}{2} & -1 & -\\frac{1}{2} \\\\\n\\end{array}\n\\right)$ and\n$\\left(\n\\be... | linear_algebra | add |
[
{
"role": "system",
"content": "You are a mathematics tutor. Answer the following math problem."
},
{
"role": "user",
"content": "Add the two matrices\n$\\left(\n\\begin{array}{c}\n 7 \\\\\n -7 \\\\\n\\end{array}\n\\right)$ and\n$\\left(\n\\begin{array}{c}\n 8 \\\\\n 9 \\\\\n\\end{array}\n\\righ... | linear_algebra | add |
[
{
"role": "system",
"content": "You are a mathematics tutor. Answer the following math problem."
},
{
"role": "user",
"content": "Add the two matrices\n$\\left(\n\\begin{array}{cc}\n -7 & 6 \\\\\n 7 & 8 \\\\\n 10 & -6 \\\\\n -5 & 7 \\\\\n\\end{array}\n\\right)$ and\n$\\left(\n\\begin{array}{cc}\... | linear_algebra | add |
[
{
"role": "system",
"content": "You are a mathematics tutor. Answer the following math problem."
},
{
"role": "user",
"content": "Add the two matrices\n$\\left(\n\\begin{array}{ccc}\n -\\frac{13}{16} & \\frac{25}{4} & -\\frac{73}{16} \\\\\n\\end{array}\n\\right)$ and\n$\\left(\n\\begin{array}{cc... | linear_algebra | add |
[
{
"role": "system",
"content": "You are a mathematics tutor. Answer the following math problem."
},
{
"role": "user",
"content": "Add the two matrices\n$\\left(\n\\begin{array}{cccc}\n \\frac{171}{50} & -\\frac{51}{100} & -\\frac{469}{50} & -\\frac{289}{100} \\\\\n\\end{array}\n\\right)$ and\n$\... | linear_algebra | add |
[
{
"role": "system",
"content": "You are a mathematics tutor. Answer the following math problem."
},
{
"role": "user",
"content": "Add the two matrices\n$\\left(\n\\begin{array}{c}\n 2 \\\\\n 3 \\\\\n 4 \\\\\n 9 \\\\\n\\end{array}\n\\right)$ and\n$\\left(\n\\begin{array}{c}\n -2 \\\\\n -9 \\\\\n ... | linear_algebra | add |
[
{
"role": "system",
"content": "You are a mathematics tutor. Answer the following math problem."
},
{
"role": "user",
"content": "Add the two matrices\n$\\left(\n\\begin{array}{cc}\n -\\frac{16}{3} & \\frac{31}{9} \\\\\n -\\frac{58}{9} & -\\frac{28}{9} \\\\\n \\frac{40}{9} & \\frac{8}{9} \\\\\n\... | linear_algebra | add |
[
{
"role": "system",
"content": "You are a mathematics tutor. Answer the following math problem."
},
{
"role": "user",
"content": "Add the two matrices\n$\\left(\n\\begin{array}{cc}\n \\frac{3}{2} & 8 \\\\\n -\\frac{11}{4} & -\\frac{9}{2} \\\\\n -\\frac{29}{4} & 7 \\\\\n\\end{array}\n\\right)$ an... | linear_algebra | add |
[
{
"role": "system",
"content": "You are a mathematics tutor. Answer the following math problem."
},
{
"role": "user",
"content": "Add the two matrices\n$\\left(\n\\begin{array}{cccc}\n -6 & \\frac{49}{6} & -\\frac{11}{3} & -1 \\\\\n -\\frac{49}{6} & -1 & \\frac{17}{2} & -\\frac{37}{6} \\\\\n -\\... | linear_algebra | add |
[
{
"role": "system",
"content": "You are a mathematics tutor. Answer the following math problem."
},
{
"role": "user",
"content": "Add the two matrices\n$\\left(\n\\begin{array}{ccc}\n 0 & \\frac{11}{2} & -\\frac{5}{2} \\\\\n\\end{array}\n\\right)$ and\n$\\left(\n\\begin{array}{ccc}\n -8 & -2 & \... | linear_algebra | add |
[
{
"role": "system",
"content": "You are a mathematics tutor. Answer the following math problem."
},
{
"role": "user",
"content": "Add the two matrices\n$\\left(\n\\begin{array}{ccc}\n \\frac{5}{4} & \\frac{15}{4} & -\\frac{9}{2} \\\\\n \\frac{9}{4} & -\\frac{15}{4} & -\\frac{25}{4} \\\\\n\\end{a... | linear_algebra | add |
[
{
"role": "system",
"content": "You are a mathematics tutor. Answer the following math problem."
},
{
"role": "user",
"content": "Add the two matrices\n$\\left(\n\\begin{array}{c}\n -4 \\\\\n 1 \\\\\n 8 \\\\\n 2 \\\\\n\\end{array}\n\\right)$ and\n$\\left(\n\\begin{array}{c}\n 8 \\\\\n -9 \\\\\n ... | linear_algebra | add |
[
{
"role": "system",
"content": "You are a mathematics tutor. Answer the following math problem."
},
{
"role": "user",
"content": "Add the two matrices\n$\\left(\n\\begin{array}{ccc}\n 3 & -3 & 4 \\\\\n 9 & -10 & 8 \\\\\n -5 & -6 & 6 \\\\\n -2 & 2 & 6 \\\\\n\\end{array}\n\\right)$ and\n$\\left(\n... | linear_algebra | add |
[
{
"role": "system",
"content": "You are a mathematics tutor. Answer the following math problem."
},
{
"role": "user",
"content": "Add the two matrices\n$\\left(\n\\begin{array}{cccc}\n -\\frac{65}{7} & \\frac{69}{7} & -\\frac{29}{7} & -\\frac{48}{7} \\\\\n \\frac{19}{7} & \\frac{13}{7} & -9 & -\... | linear_algebra | add |
[
{
"role": "system",
"content": "You are a mathematics tutor. Answer the following math problem."
},
{
"role": "user",
"content": "Add the two matrices\n$\\left(\n\\begin{array}{cccc}\n -1 & 7 & 5 & -8 \\\\\n -7 & 8 & 3 & 0 \\\\\n -7 & -3 & -9 & 9 \\\\\n -2 & 0 & 9 & 0 \\\\\n\\end{array}\n\\right... | linear_algebra | add |
[
{
"role": "system",
"content": "You are a mathematics tutor. Answer the following math problem."
},
{
"role": "user",
"content": "Add the two matrices\n$\\left(\n\\begin{array}{ccc}\n 9 & -\\frac{35}{6} & -\\frac{1}{2} \\\\\n\\end{array}\n\\right)$ and\n$\\left(\n\\begin{array}{ccc}\n -\\frac{5}... | linear_algebra | add |
[
{
"role": "system",
"content": "You are a mathematics tutor. Answer the following math problem."
},
{
"role": "user",
"content": "Add the two matrices\n$\\left(\n\\begin{array}{c}\n -\\frac{32}{9} \\\\\n \\frac{86}{9} \\\\\n \\frac{5}{9} \\\\\n\\end{array}\n\\right)$ and\n$\\left(\n\\begin{array... | linear_algebra | add |
[
{
"role": "system",
"content": "You are a mathematics tutor. Answer the following math problem."
},
{
"role": "user",
"content": "Add the two matrices\n$\\left(\n\\begin{array}{ccc}\n -4 & 3 & 5 \\\\\n -5 & -2 & -7 \\\\\n -4 & 0 & -4 \\\\\n -3 & -2 & 0 \\\\\n\\end{array}\n\\right)$ and\n$\\left(... | linear_algebra | add |
[
{
"role": "system",
"content": "You are a mathematics tutor. Answer the following math problem."
},
{
"role": "user",
"content": "Add the two matrices\n$\\left(\n\\begin{array}{cccc}\n \\frac{77}{8} & \\frac{5}{8} & -\\frac{67}{8} & \\frac{59}{8} \\\\\n -\\frac{27}{4} & -\\frac{57}{8} & 0 & \\fr... | linear_algebra | add |
[
{
"role": "system",
"content": "You are a mathematics tutor. Answer the following math problem."
},
{
"role": "user",
"content": "Add the two matrices\n$\\left(\n\\begin{array}{cccc}\n -7 & 0 & 9 & 7 \\\\\n\\end{array}\n\\right)$ and\n$\\left(\n\\begin{array}{cccc}\n 0 & 8 & -6 & -9 \\\\\n\\end{... | linear_algebra | add |
[
{
"role": "system",
"content": "You are a mathematics tutor. Answer the following math problem."
},
{
"role": "user",
"content": "Add the two matrices\n$\\left(\n\\begin{array}{cccc}\n -2 & -10 & 8 & 9 \\\\\n\\end{array}\n\\right)$ and\n$\\left(\n\\begin{array}{cccc}\n -4 & 0 & -8 & -9 \\\\\n\\e... | linear_algebra | add |
[
{
"role": "system",
"content": "You are a mathematics tutor. Answer the following math problem."
},
{
"role": "user",
"content": "Add the two matrices\n$\\left(\n\\begin{array}{ccc}\n -1 & -7 & 5 \\\\\n 4 & -2 & 4 \\\\\n 9 & -4 & 9 \\\\\n -9 & -1 & 4 \\\\\n\\end{array}\n\\right)$ and\n$\\left(\n... | linear_algebra | add |
[
{
"role": "system",
"content": "You are a mathematics tutor. Answer the following math problem."
},
{
"role": "user",
"content": "Add the two matrices\n$\\left(\n\\begin{array}{ccc}\n -\\frac{39}{8} & -\\frac{51}{16} & -\\frac{119}{16} \\\\\n -\\frac{21}{16} & \\frac{127}{16} & -\\frac{13}{8} \\... | linear_algebra | add |
[
{
"role": "system",
"content": "You are a mathematics tutor. Answer the following math problem."
},
{
"role": "user",
"content": "Add the two matrices\n$\\left(\n\\begin{array}{cccc}\n -1 & -3 & -5 & 4 \\\\\n\\end{array}\n\\right)$ and\n$\\left(\n\\begin{array}{cccc}\n 3 & -9 & -8 & -8 \\\\\n\\e... | linear_algebra | add |
[
{
"role": "system",
"content": "You are a mathematics tutor. Answer the following math problem."
},
{
"role": "user",
"content": "Add the two matrices\n$\\left(\n\\begin{array}{ccc}\n -9 & -5 & -8 \\\\\n 8 & 2 & 7 \\\\\n 9 & 2 & -9 \\\\\n\\end{array}\n\\right)$ and\n$\\left(\n\\begin{array}{ccc}... | linear_algebra | add |
[
{
"role": "system",
"content": "You are a mathematics tutor. Answer the following math problem."
},
{
"role": "user",
"content": "Add the two matrices\n$\\left(\n\\begin{array}{ccc}\n \\frac{73}{20} & \\frac{897}{100} & -\\frac{947}{100} \\\\\n \\frac{463}{50} & \\frac{327}{100} & \\frac{313}{50... | linear_algebra | add |
[
{
"role": "system",
"content": "You are a mathematics tutor. Answer the following math problem."
},
{
"role": "user",
"content": "Add the two matrices\n$\\left(\n\\begin{array}{cc}\n \\frac{126}{25} & -\\frac{293}{50} \\\\\n \\frac{761}{100} & \\frac{71}{50} \\\\\n\\end{array}\n\\right)$ and\n$\... | linear_algebra | add |
[
{
"role": "system",
"content": "You are a mathematics tutor. Answer the following math problem."
},
{
"role": "user",
"content": "Add the two matrices\n$\\left(\n\\begin{array}{cccc}\n -7 & -8 & 8 & -3 \\\\\n -6 & 5 & 8 & -3 \\\\\n -7 & 5 & -7 & -3 \\\\\n\\end{array}\n\\right)$ and\n$\\left(\n\\... | linear_algebra | add |
[
{
"role": "system",
"content": "You are a mathematics tutor. Answer the following math problem."
},
{
"role": "user",
"content": "Add the two matrices\n$\\left(\n\\begin{array}{c}\n \\frac{39}{5} \\\\\n \\frac{37}{5} \\\\\n -\\frac{48}{5} \\\\\n -\\frac{46}{5} \\\\\n\\end{array}\n\\right)$ and\n... | linear_algebra | add |
[
{
"role": "system",
"content": "You are a mathematics tutor. Answer the following math problem."
},
{
"role": "user",
"content": "Add the two matrices\n$\\left(\n\\begin{array}{c}\n 8 \\\\\n -\\frac{11}{2} \\\\\n\\end{array}\n\\right)$ and\n$\\left(\n\\begin{array}{c}\n -\\frac{35}{4} \\\\\n -\\... | linear_algebra | add |
[
{
"role": "system",
"content": "You are a mathematics tutor. Answer the following math problem."
},
{
"role": "user",
"content": "Add the two matrices\n$\\left(\n\\begin{array}{cccc}\n -4 & -1 & 9 & -7 \\\\\n\\end{array}\n\\right)$ and\n$\\left(\n\\begin{array}{cccc}\n -7 & 8 & -7 & 1 \\\\\n\\en... | linear_algebra | add |
[
{
"role": "system",
"content": "You are a mathematics tutor. Answer the following math problem."
},
{
"role": "user",
"content": "Add the two matrices\n$\\left(\n\\begin{array}{cccc}\n \\frac{7}{2} & -\\frac{28}{5} & \\frac{27}{10} & \\frac{97}{10} \\\\\n \\frac{7}{2} & -\\frac{43}{10} & -\\frac... | linear_algebra | add |
[
{
"role": "system",
"content": "You are a mathematics tutor. Answer the following math problem."
},
{
"role": "user",
"content": "Add the two matrices\n$\\left(\n\\begin{array}{cccc}\n -10 & -\\frac{67}{8} & \\frac{37}{8} & -\\frac{9}{8} \\\\\n -2 & \\frac{1}{2} & \\frac{29}{4} & -\\frac{19}{4} ... | linear_algebra | add |
[
{
"role": "system",
"content": "You are a mathematics tutor. Answer the following math problem."
},
{
"role": "user",
"content": "Add the two matrices\n$\\left(\n\\begin{array}{ccc}\n \\frac{15}{8} & -\\frac{51}{8} & \\frac{11}{4} \\\\\n \\frac{5}{2} & \\frac{29}{4} & \\frac{73}{8} \\\\\n\\end{a... | linear_algebra | add |
[
{
"role": "system",
"content": "You are a mathematics tutor. Answer the following math problem."
},
{
"role": "user",
"content": "Add the two matrices\n$\\left(\n\\begin{array}{ccc}\n -4 & -1 & -5 \\\\\n\\end{array}\n\\right)$ and\n$\\left(\n\\begin{array}{ccc}\n 5 & -3 & 6 \\\\\n\\end{array}\n\... | linear_algebra | add |
[
{
"role": "system",
"content": "You are a mathematics tutor. Answer the following math problem."
},
{
"role": "user",
"content": "Add the two matrices\n$\\left(\n\\begin{array}{cc}\n -7 & -1 \\\\\n 2 & 6 \\\\\n\\end{array}\n\\right)$ and\n$\\left(\n\\begin{array}{cc}\n 1 & 3 \\\\\n -6 & 0 \\\\\n... | linear_algebra | add |
[
{
"role": "system",
"content": "You are a mathematics tutor. Answer the following math problem."
},
{
"role": "user",
"content": "Add the two matrices\n$\\left(\n\\begin{array}{cccc}\n -2 & 9 & -7 & 0 \\\\\n -5 & -10 & 3 & -2 \\\\\n -9 & -6 & 0 & -8 \\\\\n 0 & -6 & -2 & -7 \\\\\n\\end{array}\n\\... | linear_algebra | add |
[
{
"role": "system",
"content": "You are a mathematics tutor. Answer the following math problem."
},
{
"role": "user",
"content": "Add the two matrices\n$\\left(\n\\begin{array}{ccc}\n -3 & -7 & 9 \\\\\n\\end{array}\n\\right)$ and\n$\\left(\n\\begin{array}{ccc}\n -3 & -10 & 4 \\\\\n\\end{array}\n... | linear_algebra | add |
[
{
"role": "system",
"content": "You are a mathematics tutor. Answer the following math problem."
},
{
"role": "user",
"content": "Add the two matrices\n$\\left(\n\\begin{array}{ccc}\n -\\frac{19}{4} & -\\frac{3}{4} & -\\frac{13}{4} \\\\\n -2 & \\frac{5}{4} & 0 \\\\\n\\end{array}\n\\right)$ and\n... | linear_algebra | add |
[
{
"role": "system",
"content": "You are a mathematics tutor. Answer the following math problem."
},
{
"role": "user",
"content": "Add the two matrices\n$\\left(\n\\begin{array}{cc}\n 6 & -3 \\\\\n -4 & -1 \\\\\n -6 & 3 \\\\\n 6 & 2 \\\\\n\\end{array}\n\\right)$ and\n$\\left(\n\\begin{array}{cc}\... | linear_algebra | add |
[
{
"role": "system",
"content": "You are a mathematics tutor. Answer the following math problem."
},
{
"role": "user",
"content": "Add the two matrices\n$\\left(\n\\begin{array}{c}\n \\frac{47}{6} \\\\\n \\frac{9}{2} \\\\\n -\\frac{7}{6} \\\\\n\\end{array}\n\\right)$ and\n$\\left(\n\\begin{array}... | linear_algebra | add |
[
{
"role": "system",
"content": "You are a mathematics tutor. Answer the following math problem."
},
{
"role": "user",
"content": "Add the two matrices\n$\\left(\n\\begin{array}{ccc}\n -\\frac{69}{8} & -\\frac{41}{8} & \\frac{61}{16} \\\\\n \\frac{119}{16} & \\frac{9}{4} & \\frac{129}{16} \\\\\n ... | linear_algebra | add |
[
{
"role": "system",
"content": "You are a mathematics tutor. Answer the following math problem."
},
{
"role": "user",
"content": "Add the two matrices\n$\\left(\n\\begin{array}{cccc}\n -1 & 5 & -\\frac{15}{2} & \\frac{31}{4} \\\\\n -\\frac{37}{4} & -\\frac{15}{4} & -\\frac{1}{2} & 2 \\\\\n \\fra... | linear_algebra | add |
[
{
"role": "system",
"content": "You are a mathematics tutor. Answer the following math problem."
},
{
"role": "user",
"content": "Add the two matrices\n$\\left(\n\\begin{array}{cccc}\n -\\frac{11}{5} & -6 & -\\frac{4}{5} & -\\frac{23}{5} \\\\\n -6 & -\\frac{29}{5} & -\\frac{1}{5} & -\\frac{16}{5... | linear_algebra | add |
[
{
"role": "system",
"content": "You are a mathematics tutor. Answer the following math problem."
},
{
"role": "user",
"content": "Add the two matrices\n$\\left(\n\\begin{array}{c}\n 4 \\\\\n 10 \\\\\n -5 \\\\\n\\end{array}\n\\right)$ and\n$\\left(\n\\begin{array}{c}\n -9 \\\\\n 4 \\\\\n 5 \\\\\n... | linear_algebra | add |
[
{
"role": "system",
"content": "You are a mathematics tutor. Answer the following math problem."
},
{
"role": "user",
"content": "Add the two matrices\n$\\left(\n\\begin{array}{cc}\n \\frac{5}{3} & \\frac{41}{6} \\\\\n\\end{array}\n\\right)$ and\n$\\left(\n\\begin{array}{cc}\n -\\frac{17}{3} & \... | linear_algebra | add |
[
{
"role": "system",
"content": "You are a mathematics tutor. Answer the following math problem."
},
{
"role": "user",
"content": "Add the two matrices\n$\\left(\n\\begin{array}{cccc}\n \\frac{33}{8} & 1 & \\frac{71}{8} & -\\frac{19}{4} \\\\\n\\end{array}\n\\right)$ and\n$\\left(\n\\begin{array}{... | linear_algebra | add |
[
{
"role": "system",
"content": "You are a mathematics tutor. Answer the following math problem."
},
{
"role": "user",
"content": "Add the two matrices\n$\\left(\n\\begin{array}{ccc}\n 1 & 8 & 6 \\\\\n 7 & -6 & 4 \\\\\n 7 & -3 & -1 \\\\\n\\end{array}\n\\right)$ and\n$\\left(\n\\begin{array}{ccc}\... | linear_algebra | add |
[
{
"role": "system",
"content": "You are a mathematics tutor. Answer the following math problem."
},
{
"role": "user",
"content": "Add the two matrices\n$\\left(\n\\begin{array}{cc}\n \\frac{49}{6} & 0 \\\\\n\\end{array}\n\\right)$ and\n$\\left(\n\\begin{array}{cc}\n -\\frac{16}{3} & -\\frac{2}{3... | linear_algebra | add |
[
{
"role": "system",
"content": "You are a mathematics tutor. Answer the following math problem."
},
{
"role": "user",
"content": "Add the two matrices\n$\\left(\n\\begin{array}{cccc}\n 9 & -5 & -10 & 8 \\\\\n 5 & -7 & 2 & 9 \\\\\n -6 & 7 & -9 & 6 \\\\\n 10 & 5 & -4 & -3 \\\\\n\\end{array}\n\\rig... | linear_algebra | add |
[
{
"role": "system",
"content": "You are a mathematics tutor. Answer the following math problem."
},
{
"role": "user",
"content": "Add the two matrices\n$\\left(\n\\begin{array}{ccc}\n \\frac{28}{3} & \\frac{37}{6} & \\frac{5}{2} \\\\\n \\frac{1}{3} & \\frac{19}{6} & \\frac{3}{2} \\\\\n \\frac{23... | linear_algebra | add |
[
{
"role": "system",
"content": "You are a mathematics tutor. Answer the following math problem."
},
{
"role": "user",
"content": "Add the two matrices\n$\\left(\n\\begin{array}{cc}\n -2 & 4 \\\\\n 8 & 6 \\\\\n\\end{array}\n\\right)$ and\n$\\left(\n\\begin{array}{cc}\n 6 & -3 \\\\\n 7 & -9 \\\\\n... | linear_algebra | add |
[
{
"role": "system",
"content": "You are a mathematics tutor. Answer the following math problem."
},
{
"role": "user",
"content": "Add the two matrices\n$\\left(\n\\begin{array}{ccc}\n \\frac{31}{100} & \\frac{61}{50} & \\frac{199}{100} \\\\\n -2 & \\frac{17}{10} & \\frac{19}{2} \\\\\n \\frac{583... | linear_algebra | add |
[
{
"role": "system",
"content": "You are a mathematics tutor. Answer the following math problem."
},
{
"role": "user",
"content": "Add the two matrices\n$\\left(\n\\begin{array}{c}\n \\frac{28}{3} \\\\\n\\end{array}\n\\right)$ and\n$\\left(\n\\begin{array}{c}\n -1 \\\\\n\\end{array}\n\\right)$"
... | linear_algebra | add |
[
{
"role": "system",
"content": "You are a mathematics tutor. Answer the following math problem."
},
{
"role": "user",
"content": "Add the two matrices\n$\\left(\n\\begin{array}{cccc}\n \\frac{29}{3} & \\frac{10}{3} & -\\frac{4}{3} & -3 \\\\\n \\frac{28}{3} & -\\frac{1}{3} & -7 & 8 \\\\\n 3 & 8 &... | linear_algebra | add |
[
{
"role": "system",
"content": "You are a mathematics tutor. Answer the following math problem."
},
{
"role": "user",
"content": "Add the two matrices\n$\\left(\n\\begin{array}{ccc}\n -5 & 4 & 7 \\\\\n 9 & -6 & 3 \\\\\n\\end{array}\n\\right)$ and\n$\\left(\n\\begin{array}{ccc}\n 5 & 7 & 4 \\\\\n... | linear_algebra | add |
[
{
"role": "system",
"content": "You are a mathematics tutor. Answer the following math problem."
},
{
"role": "user",
"content": "Add the two matrices\n$\\left(\n\\begin{array}{cccc}\n 5 & 3 & 1 & 6 \\\\\n 2 & 8 & 0 & -2 \\\\\n 4 & -8 & 6 & 7 \\\\\n\\end{array}\n\\right)$ and\n$\\left(\n\\begin{... | linear_algebra | add |
[
{
"role": "system",
"content": "You are a mathematics tutor. Answer the following math problem."
},
{
"role": "user",
"content": "Add the two matrices\n$\\left(\n\\begin{array}{c}\n -\\frac{16}{3} \\\\\n\\end{array}\n\\right)$ and\n$\\left(\n\\begin{array}{c}\n -\\frac{19}{2} \\\\\n\\end{array}\... | linear_algebra | add |
[
{
"role": "system",
"content": "You are a mathematics tutor. Answer the following math problem."
},
{
"role": "user",
"content": "Add the two matrices\n$\\left(\n\\begin{array}{c}\n 0 \\\\\n 1 \\\\\n -7 \\\\\n 8 \\\\\n\\end{array}\n\\right)$ and\n$\\left(\n\\begin{array}{c}\n -9 \\\\\n 6 \\\\\n ... | linear_algebra | add |
[
{
"role": "system",
"content": "You are a mathematics tutor. Answer the following math problem."
},
{
"role": "user",
"content": "Add the two matrices\n$\\left(\n\\begin{array}{cccc}\n \\frac{31}{5} & \\frac{44}{5} & -\\frac{12}{5} & 2 \\\\\n\\end{array}\n\\right)$ and\n$\\left(\n\\begin{array}{... | linear_algebra | add |
[
{
"role": "system",
"content": "You are a mathematics tutor. Answer the following math problem."
},
{
"role": "user",
"content": "Add the two matrices\n$\\left(\n\\begin{array}{c}\n \\frac{67}{8} \\\\\n\\end{array}\n\\right)$ and\n$\\left(\n\\begin{array}{c}\n \\frac{25}{4} \\\\\n\\end{array}\n\... | linear_algebra | add |
[
{
"role": "system",
"content": "You are a mathematics tutor. Answer the following math problem."
},
{
"role": "user",
"content": "Add the two matrices\n$\\left(\n\\begin{array}{ccc}\n \\frac{117}{100} & \\frac{747}{100} & \\frac{27}{4} \\\\\n -\\frac{69}{10} & \\frac{773}{100} & \\frac{391}{100}... | linear_algebra | add |
[
{
"role": "system",
"content": "You are a mathematics tutor. Answer the following math problem."
},
{
"role": "user",
"content": "Add the two matrices\n$\\left(\n\\begin{array}{c}\n \\frac{1}{4} \\\\\n \\frac{85}{16} \\\\\n -\\frac{51}{16} \\\\\n\\end{array}\n\\right)$ and\n$\\left(\n\\begin{arr... | linear_algebra | add |
[
{
"role": "system",
"content": "You are a mathematics tutor. Answer the following math problem."
},
{
"role": "user",
"content": "Add the two matrices\n$\\left(\n\\begin{array}{c}\n 2 \\\\\n 0 \\\\\n\\end{array}\n\\right)$ and\n$\\left(\n\\begin{array}{c}\n -\\frac{1}{3} \\\\\n \\frac{16}{3} \\\... | linear_algebra | add |
[
{
"role": "system",
"content": "You are a mathematics tutor. Answer the following math problem."
},
{
"role": "user",
"content": "Add the two matrices\n$\\left(\n\\begin{array}{c}\n 1 \\\\\n\\end{array}\n\\right)$ and\n$\\left(\n\\begin{array}{c}\n -9 \\\\\n\\end{array}\n\\right)$"
},
{
... | linear_algebra | add |
[
{
"role": "system",
"content": "You are a mathematics tutor. Answer the following math problem."
},
{
"role": "user",
"content": "Add the two matrices\n$\\left(\n\\begin{array}{cc}\n \\frac{20}{9} & -\\frac{43}{9} \\\\\n \\frac{83}{9} & \\frac{19}{3} \\\\\n\\end{array}\n\\right)$ and\n$\\left(\n... | linear_algebra | add |
[
{
"role": "system",
"content": "You are a mathematics tutor. Answer the following math problem."
},
{
"role": "user",
"content": "Add the two matrices\n$\\left(\n\\begin{array}{cc}\n -9 & -9 \\\\\n 7 & 5 \\\\\n 2 & -4 \\\\\n 9 & -10 \\\\\n\\end{array}\n\\right)$ and\n$\\left(\n\\begin{array}{cc}... | linear_algebra | add |
[
{
"role": "system",
"content": "You are a mathematics tutor. Answer the following math problem."
},
{
"role": "user",
"content": "Add the two matrices\n$\\left(\n\\begin{array}{cc}\n -10 & 1 \\\\\n 4 & -8 \\\\\n 1 & -2 \\\\\n\\end{array}\n\\right)$ and\n$\\left(\n\\begin{array}{cc}\n 1 & -2 \\\\... | linear_algebra | add |
[
{
"role": "system",
"content": "You are a mathematics tutor. Answer the following math problem."
},
{
"role": "user",
"content": "Add the two matrices\n$\\left(\n\\begin{array}{ccc}\n -\\frac{77}{8} & \\frac{61}{8} & -\\frac{17}{8} \\\\\n -\\frac{19}{4} & \\frac{1}{4} & \\frac{11}{4} \\\\\n\\end... | linear_algebra | add |
[
{
"role": "system",
"content": "You are a mathematics tutor. Answer the following math problem."
},
{
"role": "user",
"content": "Add the two matrices\n$\\left(\n\\begin{array}{c}\n -\\frac{29}{10} \\\\\n -3 \\\\\n \\frac{9}{5} \\\\\n\\end{array}\n\\right)$ and\n$\\left(\n\\begin{array}{c}\n \\f... | linear_algebra | add |
[
{
"role": "system",
"content": "You are a mathematics tutor. Answer the following math problem."
},
{
"role": "user",
"content": "Add the two matrices\n$\\left(\n\\begin{array}{c}\n 0 \\\\\n 10 \\\\\n -3 \\\\\n\\end{array}\n\\right)$ and\n$\\left(\n\\begin{array}{c}\n -9 \\\\\n -8 \\\\\n -7 \\\\... | linear_algebra | add |
[
{
"role": "system",
"content": "You are a mathematics tutor. Answer the following math problem."
},
{
"role": "user",
"content": "Add the two matrices\n$\\left(\n\\begin{array}{c}\n 6 \\\\\n 2 \\\\\n 3 \\\\\n 1 \\\\\n\\end{array}\n\\right)$ and\n$\\left(\n\\begin{array}{c}\n -4 \\\\\n -5 \\\\\n ... | linear_algebra | add |
[
{
"role": "system",
"content": "You are a mathematics tutor. Answer the following math problem."
},
{
"role": "user",
"content": "Add the two matrices\n$\\left(\n\\begin{array}{cc}\n -\\frac{48}{5} & \\frac{24}{5} \\\\\n -\\frac{21}{5} & -\\frac{37}{5} \\\\\n -\\frac{18}{5} & \\frac{22}{5} \\\\\... | linear_algebra | add |
[
{
"role": "system",
"content": "You are a mathematics tutor. Answer the following math problem."
},
{
"role": "user",
"content": "Add the two matrices\n$\\left(\n\\begin{array}{c}\n 5 \\\\\n\\end{array}\n\\right)$ and\n$\\left(\n\\begin{array}{c}\n 5 \\\\\n\\end{array}\n\\right)$"
},
{
"... | linear_algebra | add |
[
{
"role": "system",
"content": "You are a mathematics tutor. Answer the following math problem."
},
{
"role": "user",
"content": "Add the two matrices\n$\\left(\n\\begin{array}{cc}\n -9 & 6 \\\\\n 1 & -8 \\\\\n\\end{array}\n\\right)$ and\n$\\left(\n\\begin{array}{cc}\n 6 & -9 \\\\\n -5 & 4 \\\\\... | linear_algebra | add |
[
{
"role": "system",
"content": "You are a mathematics tutor. Answer the following math problem."
},
{
"role": "user",
"content": "Add the two matrices\n$\\left(\n\\begin{array}{c}\n \\frac{19}{2} \\\\\n -\\frac{11}{2} \\\\\n \\frac{5}{2} \\\\\n\\end{array}\n\\right)$ and\n$\\left(\n\\begin{array... | linear_algebra | add |
[
{
"role": "system",
"content": "You are a mathematics tutor. Answer the following math problem."
},
{
"role": "user",
"content": "Add the two matrices\n$\\left(\n\\begin{array}{c}\n -8 \\\\\n\\end{array}\n\\right)$ and\n$\\left(\n\\begin{array}{c}\n 4 \\\\\n\\end{array}\n\\right)$"
},
{
... | linear_algebra | add |
[
{
"role": "system",
"content": "You are a mathematics tutor. Answer the following math problem."
},
{
"role": "user",
"content": "Add the two matrices\n$\\left(\n\\begin{array}{ccc}\n 9 & 1 & -3 \\\\\n 4 & 0 & 4 \\\\\n -3 & 3 & -4 \\\\\n\\end{array}\n\\right)$ and\n$\\left(\n\\begin{array}{ccc}\... | linear_algebra | add |
[
{
"role": "system",
"content": "You are a mathematics tutor. Answer the following math problem."
},
{
"role": "user",
"content": "Add the two matrices\n$\\left(\n\\begin{array}{cc}\n -\\frac{58}{9} & -\\frac{49}{9} \\\\\n -\\frac{17}{3} & -\\frac{86}{9} \\\\\n \\frac{2}{3} & -\\frac{46}{9} \\\\\... | linear_algebra | add |
[
{
"role": "system",
"content": "You are a mathematics tutor. Answer the following math problem."
},
{
"role": "user",
"content": "Add the two matrices\n$\\left(\n\\begin{array}{cccc}\n -\\frac{3}{8} & \\frac{9}{4} & -\\frac{5}{4} & \\frac{49}{16} \\\\\n\\end{array}\n\\right)$ and\n$\\left(\n\\be... | linear_algebra | add |
[
{
"role": "system",
"content": "You are a mathematics tutor. Answer the following math problem."
},
{
"role": "user",
"content": "Add the two matrices\n$\\left(\n\\begin{array}{c}\n -\\frac{62}{9} \\\\\n\\end{array}\n\\right)$ and\n$\\left(\n\\begin{array}{c}\n -\\frac{53}{9} \\\\\n\\end{array}\... | linear_algebra | add |
[
{
"role": "system",
"content": "You are a mathematics tutor. Answer the following math problem."
},
{
"role": "user",
"content": "Add the two matrices\n$\\left(\n\\begin{array}{c}\n 0 \\\\\n -4 \\\\\n\\end{array}\n\\right)$ and\n$\\left(\n\\begin{array}{c}\n -7 \\\\\n 9 \\\\\n\\end{array}\n\\rig... | linear_algebra | add |
[
{
"role": "system",
"content": "You are a mathematics tutor. Answer the following math problem."
},
{
"role": "user",
"content": "Add the two matrices\n$\\left(\n\\begin{array}{cccc}\n 5 & 2 & 4 & 10 \\\\\n 0 & -5 & 1 & 0 \\\\\n -8 & 0 & 6 & -3 \\\\\n\\end{array}\n\\right)$ and\n$\\left(\n\\begi... | linear_algebra | add |
[
{
"role": "system",
"content": "You are a mathematics tutor. Answer the following math problem."
},
{
"role": "user",
"content": "Add the two matrices\n$\\left(\n\\begin{array}{cccc}\n \\frac{9}{2} & \\frac{61}{16} & -\\frac{17}{16} & \\frac{133}{16} \\\\\n -\\frac{53}{16} & -\\frac{25}{8} & \\f... | linear_algebra | add |
[
{
"role": "system",
"content": "You are a mathematics tutor. Answer the following math problem."
},
{
"role": "user",
"content": "Add the two matrices\n$\\left(\n\\begin{array}{cccc}\n -9 & -6 & 10 & 7 \\\\\n\\end{array}\n\\right)$ and\n$\\left(\n\\begin{array}{cccc}\n 3 & 8 & -3 & -6 \\\\\n\\en... | linear_algebra | add |
[
{
"role": "system",
"content": "You are a mathematics tutor. Answer the following math problem."
},
{
"role": "user",
"content": "Add the two matrices\n$\\left(\n\\begin{array}{cc}\n 0 & -6 \\\\\n 6 & -6 \\\\\n 1 & -4 \\\\\n\\end{array}\n\\right)$ and\n$\\left(\n\\begin{array}{cc}\n 9 & -4 \\\\\... | linear_algebra | add |
[
{
"role": "system",
"content": "You are a mathematics tutor. Answer the following math problem."
},
{
"role": "user",
"content": "Add the two matrices\n$\\left(\n\\begin{array}{c}\n -5 \\\\\n\\end{array}\n\\right)$ and\n$\\left(\n\\begin{array}{c}\n 0 \\\\\n\\end{array}\n\\right)$"
},
{
... | linear_algebra | add |
[
{
"role": "system",
"content": "You are a mathematics tutor. Answer the following math problem."
},
{
"role": "user",
"content": "Add the two matrices\n$\\left(\n\\begin{array}{cc}\n \\frac{1}{10} & \\frac{13}{2} \\\\\n \\frac{26}{5} & \\frac{43}{10} \\\\\n\\end{array}\n\\right)$ and\n$\\left(\n... | linear_algebra | add |
[
{
"role": "system",
"content": "You are a mathematics tutor. Answer the following math problem."
},
{
"role": "user",
"content": "Add the two matrices\n$\\left(\n\\begin{array}{ccc}\n \\frac{3}{2} & -4 & 0 \\\\\n -4 & 5 & -\\frac{17}{2} \\\\\n 5 & \\frac{1}{2} & -\\frac{19}{2} \\\\\n 8 & 5 & -3 ... | linear_algebra | add |
[
{
"role": "system",
"content": "You are a mathematics tutor. Answer the following math problem."
},
{
"role": "user",
"content": "Add the two matrices\n$\\left(\n\\begin{array}{cccc}\n 3 & -1 & -2 & -4 \\\\\n -3 & 3 & 8 & -1 \\\\\n 8 & -5 & 3 & -3 \\\\\n -9 & -5 & 3 & 10 \\\\\n\\end{array}\n\\ri... | linear_algebra | add |
End of preview. Expand in Data Studio
Khan Math – Linear Algebra
Linear algebra problems from Khan Academy in ChatML format. Covers vectors, matrices, eigenvalues, transformations, and more.
Quick Start
from datasets import load_dataset
dataset = load_dataset("NecroMOnk/khan-math-linear_algebra")
print(dataset["train"][0])
Example record:
{
"messages": [
{"role": "system", "content": "You are a mathematics tutor. Answer the following math problem."},
{"role": "user", "content": "Find the arclength of the function $f(x) = \\log(2x)$ on the interval $x=4$ to $x=5$"},
{"role": "assistant", "content": "$-\\sqrt{17}+\\sqrt{26}+\\tanh^{-1}\\left(\\sqrt{17}\\right)-\\tanh^{-1}\\left(\\sqrt{26}\\right)$"}
],
"topic": "calculus",
"subtopic": "arclength"
}
Dataset Stats
- 1.295M problems
- ChatML format
- Source: Khan Academy linear algebra materials
- Language: English
- Math notation: LaTeX
Fields
| Field | Type | Description |
|---|---|---|
messages |
list | ChatML turns: system, user, assistant |
topic |
string | Top-level math topic (e.g. calculus) |
subtopic |
string | Specific subtopic (e.g. arclength) |
Source
Problems sourced from Khan Academy via the AMPS dataset. Problems and answers are in LaTeX format.
Versions
- v1 – raw extraction, minor artifacts possible (e.g. degenerate intervals,
+-notation) - v2 – cleaned formulas, extraction artifacts removed (coming soon)
- Downloads last month
- 9