Add files using upload-large-folder tool

pretraining/mathematica/linear_algebra/null_space/1050.txt

@@ -0,0 +1,12 @@
+Problem:
+Give a list of vectors that forms a basis for the null space of the following matrix (round your answer to three decimal places):
+$\left(
+\begin{array}{ccccc}
+ 1 & 10 & -8 & 6 & 3 \\
+ 5 & -1 & -2 & 6 & 7 \\
+ 8 & -5 & 7 & -6 & 8 \\
+ -5 & 8 & -8 & -1 & -2 \\
+\end{array}
+\right)$.
+Answer:
+${\{-3665.,1060.,2554.,875.,2749.\}}$

pretraining/mathematica/linear_algebra/null_space/11267.txt

@@ -0,0 +1,13 @@
+Problem:
+Give a list of vectors that forms a basis for the null space of the following matrix (round your answer to three decimal places):
+$\left(
+\begin{array}{ccc}
+ -10 & 6 & -3 \\
+ 6 & -7 & -2 \\
+ 10 & 6 & -3 \\
+ 4 & -8 & 10 \\
+ 7 & -7 & 2 \\
+\end{array}
+\right)$.
+Answer:
+${}$

pretraining/mathematica/linear_algebra/null_space/11576.txt

@@ -0,0 +1,13 @@
+Problem:
+Give a list of vectors that forms a basis for the null space of the following matrix (round your answer to three decimal places):
+$\left(
+\begin{array}{cc}
+ 2 & -1 \\
+ 1 & -6 \\
+ -9 & -3 \\
+ 1 & 6 \\
+ 9 & -7 \\
+\end{array}
+\right)$.
+Answer:
+${}$

pretraining/mathematica/linear_algebra/null_space/12247.txt

@@ -0,0 +1,11 @@
+Problem:
+Give a list of vectors that forms a basis for the null space of the following matrix (round your answer to three decimal places):
+$\left(
+\begin{array}{ccccc}
+ 10 & -3 & 4 & 10 & 4 \\
+ 10 & -3 & 7 & -6 & -10 \\
+ -5 & 0 & 8 & 10 & -6 \\
+\end{array}
+\right)$.
+Answer:
+${\{282.,1280.,210.,0.,45.\}, \{474.,2050.,240.,45.,0.\}}$

pretraining/mathematica/linear_algebra/null_space/12333.txt

@@ -0,0 +1,10 @@
+Problem:
+Give a list of vectors that forms a basis for the null space of the following matrix (round your answer to three decimal places):
+$\left(
+\begin{array}{ccccc}
+ 6 & -10 & 8 & 1 & 0 \\
+ -1 & -1 & -3 & 6 & 1 \\
+\end{array}
+\right)$.
+Answer:
+${\{-19.,-5.,8.,0.,0.\}, \{5.,3.,0.,0.,8.\}, \{59.,37.,0.,16.,0.\}}$

pretraining/mathematica/linear_algebra/null_space/126.txt

@@ -0,0 +1,10 @@
+Problem:
+Give a list of vectors that forms a basis for the null space of the following matrix (round your answer to three decimal places):
+$\left(
+\begin{array}{cc}
+ 2 & -3 \\
+ -8 & 4 \\
+\end{array}
+\right)$.
+Answer:
+${}$

pretraining/mathematica/linear_algebra/null_space/13431.txt

@@ -0,0 +1,13 @@
+Problem:
+Give a list of vectors that forms a basis for the null space of the following matrix (round your answer to three decimal places):
+$\left(
+\begin{array}{ccc}
+ 4 & -9 & 3 \\
+ 2 & 9 & 9 \\
+ -4 & 2 & -7 \\
+ 5 & 9 & -6 \\
+ -10 & -1 & 0 \\
+\end{array}
+\right)$.
+Answer:
+${}$

pretraining/mathematica/linear_algebra/null_space/13657.txt

@@ -0,0 +1,10 @@
+Problem:
+Give a list of vectors that forms a basis for the null space of the following matrix (round your answer to three decimal places):
+$\left(
+\begin{array}{ccccc}
+ -7 & 2 & 9 & 2 & 5 \\
+ -10 & 3 & -5 & -10 & -5 \\
+\end{array}
+\right)$.
+Answer:
+${\{25.,85.,0.,0.,1.\}, \{26.,90.,0.,1.,0.\}, \{37.,125.,1.,0.,0.\}}$

pretraining/mathematica/linear_algebra/null_space/1421.txt

@@ -0,0 +1,9 @@
+Problem:
+Give a list of vectors that forms a basis for the null space of the following matrix (round your answer to three decimal places):
+$\left(
+\begin{array}{cccc}
+ 10 & 10 & -8 & -1 \\
+\end{array}
+\right)$.
+Answer:
+${\{-1.,1.,0.,0.\}, \{1.,0.,0.,10.\}, \{4.,0.,5.,0.\}}$

pretraining/mathematica/linear_algebra/null_space/1534.txt

@@ -0,0 +1,9 @@
+Problem:
+Give a list of vectors that forms a basis for the null space of the following matrix (round your answer to three decimal places):
+$\left(
+\begin{array}{cccc}
+ -7 & -5 & 9 & 0 \\
+\end{array}
+\right)$.
+Answer:
+${\{-5.,7.,0.,0.\}, \{0.,0.,0.,1.\}, \{9.,0.,7.,0.\}}$

pretraining/mathematica/linear_algebra/null_space/16121.txt

@@ -0,0 +1,10 @@
+Problem:
+Give a list of vectors that forms a basis for the null space of the following matrix (round your answer to three decimal places):
+$\left(
+\begin{array}{ccccc}
+ 10 & 8 & 7 & -2 & -4 \\
+ -4 & 0 & -4 & 10 & 8 \\
+\end{array}
+\right)$.
+Answer:
+${\{-8.,3.,8.,0.,0.\}, \{2.,-2.,0.,0.,1.\}, \{20.,-23.,0.,8.,0.\}}$

pretraining/mathematica/linear_algebra/null_space/16163.txt

@@ -0,0 +1,11 @@
+Problem:
+Give a list of vectors that forms a basis for the null space of the following matrix (round your answer to three decimal places):
+$\left(
+\begin{array}{ccccc}
+ -6 & -4 & -7 & 9 & -5 \\
+ 5 & -1 & -4 & 10 & 4 \\
+ -3 & 8 & 1 & 6 & -1 \\
+\end{array}
+\right)$.
+Answer:
+${\{-372.,-84.,29.,0.,473.\}, \{-17.,-51.,99.,43.,0.\}}$

pretraining/mathematica/linear_algebra/null_space/16842.txt

@@ -0,0 +1,12 @@
+Problem:
+Give a list of vectors that forms a basis for the null space of the following matrix (round your answer to three decimal places):
+$\left(
+\begin{array}{cccc}
+ 3 & -6 & -8 & -3 \\
+ 3 & -4 & -4 & 10 \\
+ -1 & -5 & 10 & -9 \\
+ 9 & 5 & 2 & -10 \\
+\end{array}
+\right)$.
+Answer:
+${}$

pretraining/mathematica/linear_algebra/null_space/17652.txt

@@ -0,0 +1,10 @@
+Problem:
+Give a list of vectors that forms a basis for the null space of the following matrix (round your answer to three decimal places):
+$\left(
+\begin{array}{ccccc}
+ 0 & 10 & 10 & -9 & 4 \\
+ -10 & -6 & -9 & 7 & 7 \\
+\end{array}
+\right)$.
+Answer:
+${\{-3.,-10.,10.,0.,0.\}, \{8.,45.,0.,50.,0.\}, \{47.,-20.,0.,0.,50.\}}$

pretraining/mathematica/linear_algebra/null_space/17715.txt

@@ -0,0 +1,12 @@
+Problem:
+Give a list of vectors that forms a basis for the null space of the following matrix (round your answer to three decimal places):
+$\left(
+\begin{array}{ccccc}
+ -1 & -6 & 4 & 8 & -3 \\
+ -10 & 10 & -7 & -1 & -4 \\
+ 4 & 9 & 0 & 4 & -1 \\
+ 8 & -8 & -4 & -2 & 2 \\
+\end{array}
+\right)$.
+Answer:
+${\{-1439.,51.,-1511.,2745.,5683.\}}$

pretraining/mathematica/linear_algebra/null_space/17799.txt

@@ -0,0 +1,11 @@
+Problem:
+Give a list of vectors that forms a basis for the null space of the following matrix (round your answer to three decimal places):
+$\left(
+\begin{array}{ccc}
+ -8 & -6 & 8 \\
+ -9 & 6 & 8 \\
+ 4 & -3 & -7 \\
+\end{array}
+\right)$.
+Answer:
+${}$

pretraining/mathematica/linear_algebra/null_space/18910.txt

@@ -0,0 +1,10 @@
+Problem:
+Give a list of vectors that forms a basis for the null space of the following matrix (round your answer to three decimal places):
+$\left(
+\begin{array}{cccc}
+ 10 & -2 & -10 & 1 \\
+ -10 & 1 & 0 & -2 \\
+\end{array}
+\right)$.
+Answer:
+${\{-3.,-10.,0.,10.\}, \{-1.,-10.,1.,0.\}}$

pretraining/mathematica/linear_algebra/null_space/1965.txt

@@ -0,0 +1,13 @@
+Problem:
+Give a list of vectors that forms a basis for the null space of the following matrix (round your answer to three decimal places):
+$\left(
+\begin{array}{cccc}
+ 0 & -9 & 5 & -4 \\
+ 8 & -6 & -2 & -2 \\
+ -6 & 5 & -2 & 0 \\
+ 6 & -4 & 8 & 4 \\
+ 6 & -7 & -3 & -3 \\
+\end{array}
+\right)$.
+Answer:
+${}$

pretraining/mathematica/linear_algebra/null_space/19980.txt

@@ -0,0 +1,10 @@
+Problem:
+Give a list of vectors that forms a basis for the null space of the following matrix (round your answer to three decimal places):
+$\left(
+\begin{array}{ccc}
+ 2 & -4 & -10 \\
+ -3 & -2 & -9 \\
+\end{array}
+\right)$.
+Answer:
+${\{-1.,-3.,1.\}}$

pretraining/mathematica/linear_algebra/null_space/20440.txt

@@ -0,0 +1,11 @@
+Problem:
+Give a list of vectors that forms a basis for the null space of the following matrix (round your answer to three decimal places):
+$\left(
+\begin{array}{ccc}
+ 6 & 7 & 6 \\
+ 4 & 1 & 4 \\
+ -8 & 4 & -9 \\
+\end{array}
+\right)$.
+Answer:
+${}$

pretraining/mathematica/linear_algebra/null_space/20647.txt

@@ -0,0 +1,13 @@
+Problem:
+Give a list of vectors that forms a basis for the null space of the following matrix (round your answer to three decimal places):
+$\left(
+\begin{array}{ccccc}
+ 8 & -4 & -7 & 3 & 0 \\
+ 7 & -7 & -6 & 7 & 4 \\
+ 5 & -2 & -9 & 9 & 0 \\
+ -10 & 5 & -3 & 1 & 2 \\
+ 7 & 0 & 2 & 2 & 5 \\
+\end{array}
+\right)$.
+Answer:
+${}$

pretraining/mathematica/linear_algebra/null_space/21259.txt

@@ -0,0 +1,13 @@
+Problem:
+Give a list of vectors that forms a basis for the null space of the following matrix (round your answer to three decimal places):
+$\left(
+\begin{array}{ccc}
+ 6 & -1 & 5 \\
+ 0 & 6 & 10 \\
+ -7 & 7 & 5 \\
+ 1 & -6 & -8 \\
+ 9 & 4 & 2 \\
+\end{array}
+\right)$.
+Answer:
+${}$

pretraining/mathematica/linear_algebra/null_space/21372.txt

@@ -0,0 +1,9 @@
+Problem:
+Give a list of vectors that forms a basis for the null space of the following matrix (round your answer to three decimal places):
+$\left(
+\begin{array}{cc}
+ -3 & 5 \\
+\end{array}
+\right)$.
+Answer:
+${\{5.,3.\}}$

pretraining/mathematica/linear_algebra/null_space/21598.txt

@@ -0,0 +1,12 @@
+Problem:
+Give a list of vectors that forms a basis for the null space of the following matrix (round your answer to three decimal places):
+$\left(
+\begin{array}{cccc}
+ -3 & 1 & 7 & 10 \\
+ -1 & 8 & -9 & -5 \\
+ 7 & -10 & 1 & -4 \\
+ -5 & 8 & -8 & 7 \\
+\end{array}
+\right)$.
+Answer:
+${}$

pretraining/mathematica/linear_algebra/null_space/21957.txt

@@ -0,0 +1,13 @@
+Problem:
+Give a list of vectors that forms a basis for the null space of the following matrix (round your answer to three decimal places):
+$\left(
+\begin{array}{ccc}
+ 4 & -4 & -4 \\
+ 5 & -6 & -5 \\
+ 9 & 9 & 10 \\
+ 9 & 10 & -2 \\
+ 1 & 6 & -5 \\
+\end{array}
+\right)$.
+Answer:
+${}$

pretraining/mathematica/linear_algebra/null_space/23523.txt

@@ -0,0 +1,10 @@
+Problem:
+Give a list of vectors that forms a basis for the null space of the following matrix (round your answer to three decimal places):
+$\left(
+\begin{array}{cccc}
+ 1 & 10 & 10 & 6 \\
+ -3 & -2 & 7 & 6 \\
+\end{array}
+\right)$.
+Answer:
+${\{18.,-6.,0.,7.\}, \{90.,-37.,28.,0.\}}$

pretraining/mathematica/linear_algebra/null_space/24132.txt

@@ -0,0 +1,10 @@
+Problem:
+Give a list of vectors that forms a basis for the null space of the following matrix (round your answer to three decimal places):
+$\left(
+\begin{array}{cc}
+ 9 & 6 \\
+ 2 & 6 \\
+\end{array}
+\right)$.
+Answer:
+${}$

pretraining/mathematica/linear_algebra/null_space/24731.txt

@@ -0,0 +1,12 @@
+Problem:
+Give a list of vectors that forms a basis for the null space of the following matrix (round your answer to three decimal places):
+$\left(
+\begin{array}{cccc}
+ -2 & 10 & 1 & 7 \\
+ -6 & -8 & 9 & 9 \\
+ 2 & -10 & 2 & 3 \\
+ -1 & 2 & 5 & 8 \\
+\end{array}
+\right)$.
+Answer:
+${}$

pretraining/mathematica/linear_algebra/null_space/25107.txt

@@ -0,0 +1,12 @@
+Problem:
+Give a list of vectors that forms a basis for the null space of the following matrix (round your answer to three decimal places):
+$\left(
+\begin{array}{ccccc}
+ 8 & -7 & 6 & 8 & -2 \\
+ -8 & 1 & -7 & 0 & -7 \\
+ 1 & -6 & 5 & -7 & -1 \\
+ -5 & -2 & -2 & -9 & 0 \\
+\end{array}
+\right)$.
+Answer:
+${\{-629.,-104.,439.,275.,265.\}}$

pretraining/mathematica/linear_algebra/null_space/25817.txt

@@ -0,0 +1,11 @@
+Problem:
+Give a list of vectors that forms a basis for the null space of the following matrix (round your answer to three decimal places):
+$\left(
+\begin{array}{cccc}
+ -5 & 10 & -1 & 6 \\
+ 8 & 3 & -4 & 10 \\
+ 0 & 0 & 9 & 7 \\
+\end{array}
+\right)$.
+Answer:
+${\{-997.,-1078.,-665.,855.\}}$

pretraining/mathematica/linear_algebra/null_space/26546.txt

@@ -0,0 +1,13 @@
+Problem:
+Give a list of vectors that forms a basis for the null space of the following matrix (round your answer to three decimal places):
+$\left(
+\begin{array}{cccc}
+ -1 & 9 & 4 & -7 \\
+ 6 & -7 & 1 & -10 \\
+ -4 & -2 & 0 & 5 \\
+ 4 & -5 & -5 & 2 \\
+ -8 & 1 & 9 & 0 \\
+\end{array}
+\right)$.
+Answer:
+${}$

pretraining/mathematica/linear_algebra/null_space/27311.txt

@@ -0,0 +1,12 @@
+Problem:
+Give a list of vectors that forms a basis for the null space of the following matrix (round your answer to three decimal places):
+$\left(
+\begin{array}{cccc}
+ 0 & -10 & 7 & 8 \\
+ 9 & -10 & 2 & -6 \\
+ 9 & 0 & 10 & -7 \\
+ -6 & -1 & -9 & 10 \\
+\end{array}
+\right)$.
+Answer:
+${}$

pretraining/mathematica/linear_algebra/null_space/29441.txt

@@ -0,0 +1,9 @@
+Problem:
+Give a list of vectors that forms a basis for the null space of the following matrix (round your answer to three decimal places):
+$\left(
+\begin{array}{cc}
+ -8 & 9 \\
+\end{array}
+\right)$.
+Answer:
+${\{9.,8.\}}$

pretraining/mathematica/linear_algebra/null_space/29601.txt

@@ -0,0 +1,11 @@
+Problem:
+Give a list of vectors that forms a basis for the null space of the following matrix (round your answer to three decimal places):
+$\left(
+\begin{array}{ccccc}
+ 9 & -6 & -4 & 4 & 9 \\
+ 8 & -10 & -3 & 2 & -6 \\
+ -3 & -10 & 9 & 1 & 0 \\
+\end{array}
+\right)$.
+Answer:
+${\{-1644.,-981.,-1638.,0.,262.\}, \{-314.,-119.,-266.,262.,0.\}}$

pretraining/mathematica/linear_algebra/null_space/29779.txt

@@ -0,0 +1,12 @@
+Problem:
+Give a list of vectors that forms a basis for the null space of the following matrix (round your answer to three decimal places):
+$\left(
+\begin{array}{cc}
+ -7 & -6 \\
+ -9 & 1 \\
+ -6 & -10 \\
+ 1 & 3 \\
+\end{array}
+\right)$.
+Answer:
+${}$

pretraining/mathematica/linear_algebra/null_space/31717.txt

@@ -0,0 +1,11 @@
+Problem:
+Give a list of vectors that forms a basis for the null space of the following matrix (round your answer to three decimal places):
+$\left(
+\begin{array}{cc}
+ -10 & -1 \\
+ -7 & 2 \\
+ 9 & 0 \\
+\end{array}
+\right)$.
+Answer:
+${}$

pretraining/mathematica/linear_algebra/null_space/32308.txt

@@ -0,0 +1,12 @@
+Problem:
+Give a list of vectors that forms a basis for the null space of the following matrix (round your answer to three decimal places):
+$\left(
+\begin{array}{ccc}
+ -6 & 2 & -9 \\
+ 1 & 7 & -3 \\
+ -9 & 9 & 3 \\
+ -6 & 8 & 7 \\
+\end{array}
+\right)$.
+Answer:
+${}$

pretraining/mathematica/linear_algebra/null_space/3310.txt

@@ -0,0 +1,10 @@
+Problem:
+Give a list of vectors that forms a basis for the null space of the following matrix (round your answer to three decimal places):
+$\left(
+\begin{array}{ccc}
+ -6 & 5 & 0 \\
+ 8 & 5 & 3 \\
+\end{array}
+\right)$.
+Answer:
+${\{-15.,-18.,70.\}}$

pretraining/mathematica/linear_algebra/null_space/33268.txt

@@ -0,0 +1,10 @@
+Problem:
+Give a list of vectors that forms a basis for the null space of the following matrix (round your answer to three decimal places):
+$\left(
+\begin{array}{ccc}
+ -8 & 9 & 5 \\
+ 3 & 4 & -4 \\
+\end{array}
+\right)$.
+Answer:
+${\{56.,17.,59.\}}$

pretraining/mathematica/linear_algebra/null_space/34748.txt

@@ -0,0 +1,10 @@
+Problem:
+Give a list of vectors that forms a basis for the null space of the following matrix (round your answer to three decimal places):
+$\left(
+\begin{array}{cccc}
+ 9 & 10 & 5 & -9 \\
+ -4 & -6 & -10 & 8 \\
+\end{array}
+\right)$.
+Answer:
+${\{-13.,18.,0.,7.\}, \{5.,-5.,1.,0.\}}$

pretraining/mathematica/linear_algebra/null_space/35540.txt

@@ -0,0 +1,9 @@
+Problem:
+Give a list of vectors that forms a basis for the null space of the following matrix (round your answer to three decimal places):
+$\left(
+\begin{array}{cccc}
+ -7 & 1 & -10 & 5 \\
+\end{array}
+\right)$.
+Answer:
+${\{-10.,0.,7.,0.\}, \{1.,7.,0.,0.\}, \{5.,0.,0.,7.\}}$

pretraining/mathematica/linear_algebra/null_space/3684.txt

@@ -0,0 +1,9 @@
+Problem:
+Give a list of vectors that forms a basis for the null space of the following matrix (round your answer to three decimal places):
+$\left(
+\begin{array}{ccc}
+ 4 & 6 & 3 \\
+\end{array}
+\right)$.
+Answer:
+${\{-3.,0.,4.\}, \{-3.,2.,0.\}}$

pretraining/mathematica/linear_algebra/null_space/38322.txt

@@ -0,0 +1,12 @@
+Problem:
+Give a list of vectors that forms a basis for the null space of the following matrix (round your answer to three decimal places):
+$\left(
+\begin{array}{ccc}
+ 1 & 10 & -5 \\
+ -2 & -4 & -4 \\
+ -7 & -6 & -1 \\
+ -2 & 7 & -5 \\
+\end{array}
+\right)$.
+Answer:
+${}$

pretraining/mathematica/linear_algebra/null_space/38469.txt

@@ -0,0 +1,11 @@
+Problem:
+Give a list of vectors that forms a basis for the null space of the following matrix (round your answer to three decimal places):
+$\left(
+\begin{array}{ccccc}
+ 7 & -7 & 9 & -8 & 0 \\
+ -8 & -5 & 7 & -9 & -8 \\
+ -7 & -2 & -9 & 4 & 10 \\
+\end{array}
+\right)$.
+Answer:
+${\{-608.,1210.,1414.,0.,1089.\}, \{-241.,-484.,779.,1089.,0.\}}$

pretraining/mathematica/linear_algebra/null_space/38854.txt

@@ -0,0 +1,10 @@
+Problem:
+Give a list of vectors that forms a basis for the null space of the following matrix (round your answer to three decimal places):
+$\left(
+\begin{array}{cccc}
+ 10 & 4 & 2 & -1 \\
+ -4 & 6 & -8 & 10 \\
+\end{array}
+\right)$.
+Answer:
+${\{-11.,18.,19.,0.\}, \{23.,-48.,0.,38.\}}$

pretraining/mathematica/linear_algebra/null_space/4077.txt

@@ -0,0 +1,13 @@
+Problem:
+Give a list of vectors that forms a basis for the null space of the following matrix (round your answer to three decimal places):
+$\left(
+\begin{array}{ccccc}
+ -4 & -3 & 10 & -3 & -3 \\
+ -10 & 4 & -2 & 2 & 3 \\
+ -3 & 2 & 1 & 9 & -5 \\
+ 6 & -5 & -6 & -6 & 1 \\
+ -6 & 0 & 7 & -8 & 6 \\
+\end{array}
+\right)$.
+Answer:
+${}$

pretraining/mathematica/linear_algebra/null_space/40929.txt

@@ -0,0 +1,11 @@
+Problem:
+Give a list of vectors that forms a basis for the null space of the following matrix (round your answer to three decimal places):
+$\left(
+\begin{array}{ccc}
+ 8 & -9 & 10 \\
+ -1 & -2 & -10 \\
+ 9 & -2 & -7 \\
+\end{array}
+\right)$.
+Answer:
+${}$

pretraining/mathematica/linear_algebra/null_space/41787.txt

@@ -0,0 +1,11 @@
+Problem:
+Give a list of vectors that forms a basis for the null space of the following matrix (round your answer to three decimal places):
+$\left(
+\begin{array}{cccc}
+ 3 & 3 & 2 & -5 \\
+ 7 & -4 & 5 & -6 \\
+ 10 & 3 & 3 & -5 \\
+\end{array}
+\right)$.
+Answer:
+${\{-19.,37.,133.,64.\}}$

pretraining/mathematica/linear_algebra/null_space/42244.txt

@@ -0,0 +1,9 @@
+Problem:
+Give a list of vectors that forms a basis for the null space of the following matrix (round your answer to three decimal places):
+$\left(
+\begin{array}{ccccc}
+ -9 & -8 & 4 & 5 & 8 \\
+\end{array}
+\right)$.
+Answer:
+${\{-8.,9.,0.,0.,0.\}, \{4.,0.,9.,0.,0.\}, \{5.,0.,0.,9.,0.\}, \{8.,0.,0.,0.,9.\}}$

pretraining/mathematica/linear_algebra/null_space/42739.txt

@@ -0,0 +1,10 @@
+Problem:
+Give a list of vectors that forms a basis for the null space of the following matrix (round your answer to three decimal places):
+$\left(
+\begin{array}{ccccc}
+ -8 & -8 & -5 & 7 & 3 \\
+ -4 & -4 & 2 & 7 & 7 \\
+\end{array}
+\right)$.
+Answer:
+${\{-1.,1.,0.,0.,0.\}, \{41.,0.,-44.,0.,36.\}, \{49.,0.,-28.,36.,0.\}}$