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help-10
b0d1c68a23024d089f8f82ab2b27b4d4
896,224,543,738,306,600
Ex-FighterMan0
03/13/2022 22:04:06
Times the corresponding numbers with the corresponding locations
1
0
null
null
null
null
null
1,233
help-10
b0d1c68a23024d089f8f82ab2b27b4d4
220,196,846,922,891,260
Lance
03/13/2022 22:04:15
that's not how we define matrix multiplication
0
1
null
null
null
null
null
1,233
help-10
b0d1c68a23024d089f8f82ab2b27b4d4
896,224,543,738,306,600
Ex-FighterMan0
03/13/2022 22:04:39
I know but, why because i'm really having hard time wrapping my head around it
1
0
null
null
null
null
null
1,233
help-10
b0d1c68a23024d089f8f82ab2b27b4d4
330,184,297,950,478,340
suck2015
03/13/2022 22:05:15
if the matrices aren't the same dimensions, that logic fails
0
1
null
null
null
null
null
1,233
help-10
b0d1c68a23024d089f8f82ab2b27b4d4
330,184,297,950,478,340
suck2015
03/13/2022 22:05:23
imagine a=3x2 matrix
0
1
null
null
null
null
null
1,233
help-10
b0d1c68a23024d089f8f82ab2b27b4d4
330,184,297,950,478,340
suck2015
03/13/2022 22:05:27
b=2x3 matrix
0
1
null
null
null
null
null
1,233
help-10
b0d1c68a23024d089f8f82ab2b27b4d4
330,184,297,950,478,340
suck2015
03/13/2022 22:05:34
there's no b3,2
0
1
null
null
null
null
null
1,233
help-10
b0d1c68a23024d089f8f82ab2b27b4d4
896,224,543,738,306,600
Ex-FighterMan0
03/13/2022 22:05:44
Yes fair, but even if it was the same dimensions we cant do it
1
0
null
null
null
null
null
1,233
help-10
b0d1c68a23024d089f8f82ab2b27b4d4
220,196,846,922,891,260
Lance
03/13/2022 22:05:53
i think fighterman0 is asking about why we define matrix multiplication the way it is
0
1
null
null
null
null
null
1,233
help-10
b0d1c68a23024d089f8f82ab2b27b4d4
330,184,297,950,478,340
suck2015
03/13/2022 22:05:54
exactly so it won't work
0
1
null
null
null
null
null
1,233
help-10
b0d1c68a23024d089f8f82ab2b27b4d4
896,224,543,738,306,600
Ex-FighterMan0
03/13/2022 22:06:09
Yea
1
0
null
null
null
null
null
1,233
help-10
b0d1c68a23024d089f8f82ab2b27b4d4
330,184,297,950,478,340
suck2015
03/13/2022 22:06:54
eh thats a bit deeper. You might just want to look up a proof about matrix multi
0
1
null
null
null
null
null
1,233
help-10
b0d1c68a23024d089f8f82ab2b27b4d4
330,184,297,950,478,340
suck2015
03/13/2022 22:06:58
i think axler has a few
0
1
null
null
null
null
null
1,233
help-10
b0d1c68a23024d089f8f82ab2b27b4d4
896,224,543,738,306,600
Ex-FighterMan0
03/13/2022 22:07:15
thats fine, then I will do that later but now i need help understanding this
1
0
null
null
null
null
null
1,233
help-10
b0d1c68a23024d089f8f82ab2b27b4d4
896,224,543,738,306,600
Ex-FighterMan0
03/13/2022 22:07:24
https://cdn.discordapp.c…4588/unknown.png
unknown.png
1
0
null
null
null
null
null
1,233
help-10
b0d1c68a23024d089f8f82ab2b27b4d4
330,184,297,950,478,340
suck2015
03/13/2022 22:07:35
Matrix vector multiplication
0
1
null
null
null
null
null
1,233
help-10
b0d1c68a23024d089f8f82ab2b27b4d4
896,224,543,738,306,600
Ex-FighterMan0
03/13/2022 22:07:41
How do you this? I got the answers but i still cant wrapp my head around it
1
0
null
null
null
null
null
1,233
help-10
b0d1c68a23024d089f8f82ab2b27b4d4
896,224,543,738,306,600
Ex-FighterMan0
03/13/2022 22:09:42
isnt it 2*1?
1
0
null
null
null
null
null
1,233
help-10
b0d1c68a23024d089f8f82ab2b27b4d4
330,184,297,950,478,340
suck2015
03/13/2022 22:09:43
?? A = 2x3 but B = 2x1
0
1
null
null
null
null
null
1,233
help-10
b0d1c68a23024d089f8f82ab2b27b4d4
896,224,543,738,306,600
Ex-FighterMan0
03/13/2022 22:09:52
yet some how my tutur got 3*1
1
0
null
null
null
null
null
1,233
help-10
b0d1c68a23024d089f8f82ab2b27b4d4
330,184,297,950,478,340
suck2015
03/13/2022 22:09:56
I don't you can multiply these 2
0
1
null
null
null
null
null
1,233
help-10
b0d1c68a23024d089f8f82ab2b27b4d4
330,184,297,950,478,340
suck2015
03/13/2022 22:09:57
lol
0
1
null
null
null
null
null
1,233
help-10
b0d1c68a23024d089f8f82ab2b27b4d4
896,224,543,738,306,600
Ex-FighterMan0
03/13/2022 22:10:21
https://cdn.discordapp.c…8650/unknown.png
unknown.png
1
0
null
null
null
null
null
1,233
help-10
b0d1c68a23024d089f8f82ab2b27b4d4
896,224,543,738,306,600
Ex-FighterMan0
03/13/2022 22:10:24
this is what he did
1
0
null
null
null
null
null
1,233
help-10
b0d1c68a23024d089f8f82ab2b27b4d4
896,224,543,738,306,600
Ex-FighterMan0
03/13/2022 22:10:28
but i dont get it
1
0
null
null
null
null
null
1,233
help-10
b0d1c68a23024d089f8f82ab2b27b4d4
330,184,297,950,478,340
suck2015
03/13/2022 22:11:56
I mean he says it DNE in your first pic
0
1
null
null
null
null
null
1,233
help-10
b0d1c68a23024d089f8f82ab2b27b4d4
896,224,543,738,306,600
Ex-FighterMan0
03/13/2022 22:12:26
yea but he still works it out??
1
0
null
null
null
null
null
1,233
help-10
b0d1c68a23024d089f8f82ab2b27b4d4
330,184,297,950,478,340
suck2015
03/13/2022 22:12:27
Look, the first picture has A as a 2x3 matrix
0
1
220,196,846,922,891,260
Lance
8018
Lance
false
1,233
help-10
b0d1c68a23024d089f8f82ab2b27b4d4
330,184,297,950,478,340
suck2015
03/13/2022 22:12:35
your second picture has A as a 3x2 matrix
0
1
null
null
null
null
null
1,233
help-10
b0d1c68a23024d089f8f82ab2b27b4d4
330,184,297,950,478,340
suck2015
03/13/2022 22:13:09
The matrices aren't even the same
0
1
null
null
null
null
null
1,233
help-10
b0d1c68a23024d089f8f82ab2b27b4d4
896,224,543,738,306,600
Ex-FighterMan0
03/13/2022 22:13:17
ooo yea, I think he just rearranged it?
1
0
null
null
null
null
null
1,233
help-10
b0d1c68a23024d089f8f82ab2b27b4d4
330,184,297,950,478,340
suck2015
03/13/2022 22:13:31
no, they are completely different questions
0
1
null
null
null
null
null
1,233
help-10
b0d1c68a23024d089f8f82ab2b27b4d4
896,224,543,738,306,600
Ex-FighterMan0
03/13/2022 22:13:31
because this rule?
1
0
null
null
null
null
null
1,233
help-10
b0d1c68a23024d089f8f82ab2b27b4d4
896,224,543,738,306,600
Ex-FighterMan0
03/13/2022 22:13:31
https://cdn.discordapp.c…0726/unknown.png
unknown.png
1
0
null
null
null
null
null
1,233
help-10
b0d1c68a23024d089f8f82ab2b27b4d4
330,184,297,950,478,340
suck2015
03/13/2022 22:13:34
look at the numbers
0
1
null
null
null
null
null
1,233
help-10
b0d1c68a23024d089f8f82ab2b27b4d4
330,184,297,950,478,340
suck2015
03/13/2022 22:13:44
This rule defines matrix multiplication
0
1
null
null
null
null
null
1,233
help-10
b0d1c68a23024d089f8f82ab2b27b4d4
896,224,543,738,306,600
Ex-FighterMan0
03/13/2022 22:14:06
oooo yes yes, you right
1
0
null
null
null
null
null
1,233
help-10
b0d1c68a23024d089f8f82ab2b27b4d4
896,224,543,738,306,600
Ex-FighterMan0
03/13/2022 22:15:20
Just to clarify we always times rows by columns?
1
0
null
null
null
null
null
1,233
help-10
b0d1c68a23024d089f8f82ab2b27b4d4
896,224,543,738,306,600
Ex-FighterMan0
03/13/2022 22:15:36
like there is no exception to that rule?
1
0
null
null
null
null
null
1,233
help-10
b0d1c68a23024d089f8f82ab2b27b4d4
684,674,576,998,858,800
kloser
03/13/2022 22:20:32
yep. if you want the reason matrix multiplication is defined like this, maybe watch https://www.youtube.com/playlist?list=PLZHQObOWTQDPD3MizzM2xVFitgF8hE_ab. (it's also much easier to remember LA formulas with this intuition)
0
1
null
null
null
null
null
1,233
help-10
b0d1c68a23024d089f8f82ab2b27b4d4
896,224,543,738,306,600
Ex-FighterMan0
03/13/2022 22:21:54
Awesome will do, thank you!
1
0
null
null
null
null
null
1,233
help-10
b0d1c68a23024d089f8f82ab2b27b4d4
896,224,543,738,306,600
Ex-FighterMan0
03/13/2022 22:21:56
.close
1
0
null
null
null
null
null
1,234
help-10
59dec33bb14343b6805e767dddae0227
434,128,031,871,926,300
NARCSOS
03/13/2022 23:02:34
https://cdn.discordapp.c…9241/unknown.png
unknown.png
1
0
null
null
null
null
null
1,234
help-10
59dec33bb14343b6805e767dddae0227
434,128,031,871,926,300
NARCSOS
03/13/2022 23:02:45
how can i get the period
1
0
null
null
null
null
null
1,234
help-10
59dec33bb14343b6805e767dddae0227
485,903,210,272,391,200
dldh06
03/13/2022 23:12:50
Period is the peak to peak or trough to trough measurement
0
1
null
null
null
null
null
1,234
help-10
59dec33bb14343b6805e767dddae0227
434,128,031,871,926,300
NARCSOS
03/13/2022 23:19:53
so what is the period here
1
0
null
null
null
null
null
1,234
help-10
59dec33bb14343b6805e767dddae0227
485,903,210,272,391,200
dldh06
03/13/2022 23:28:59
You can determine that. I told you what you needed to know
0
1
null
null
null
null
null
1,234
help-10
59dec33bb14343b6805e767dddae0227
434,128,031,871,926,300
NARCSOS
03/13/2022 23:29:13
ohhh
1
0
null
null
null
null
null
1,234
help-10
59dec33bb14343b6805e767dddae0227
195,951,898,879,066,100
Olly
03/13/2022 23:29:28
Can I get a source for that pls
0
1
null
null
null
null
null
1,234
help-10
59dec33bb14343b6805e767dddae0227
485,903,210,272,391,200
dldh06
03/13/2022 23:29:44
Why?
0
1
null
null
null
null
null
1,234
help-10
59dec33bb14343b6805e767dddae0227
485,903,210,272,391,200
dldh06
03/13/2022 23:29:55
You're not the OP
0
1
null
null
null
null
null
1,234
help-10
59dec33bb14343b6805e767dddae0227
195,951,898,879,066,100
Olly
03/13/2022 23:30:06
Because what you've stated sounds like wavelength
0
1
null
null
null
null
null
1,234
help-10
59dec33bb14343b6805e767dddae0227
195,951,898,879,066,100
Olly
03/13/2022 23:30:13
And im wondering why its the same as period
0
1
896,224,543,738,306,600
Ex-FighterMan0
0753
Ex-FighterMan0
false
1,234
help-10
59dec33bb14343b6805e767dddae0227
485,903,210,272,391,200
dldh06
03/13/2022 23:31:06
You can look up period of sine/cosine and it'll say what I stated
0
1
null
null
null
null
null
1,234
help-10
59dec33bb14343b6805e767dddae0227
485,903,210,272,391,200
dldh06
03/13/2022 23:33:00
And FYI, period is the time it takes to complete a cycle, and wavelength is the distance during one period
0
1
null
null
null
null
null
1,234
help-10
59dec33bb14343b6805e767dddae0227
195,951,898,879,066,100
Olly
03/13/2022 23:33:55
I was confusing physics terminology where the wavelength is the distance from peak to peak or trough to trough and the period is wavelength/velocity
0
1
null
null
null
null
null
1,234
help-10
59dec33bb14343b6805e767dddae0227
485,903,210,272,391,200
dldh06
03/13/2022 23:34:45
Wavelength is distance, period is time
0
1
896,224,543,738,306,600
Ex-FighterMan0
0753
Ex-FighterMan0
false
1,234
help-10
59dec33bb14343b6805e767dddae0227
485,903,210,272,391,200
dldh06
03/14/2022 00:01:33
Were you not able to determine period with the info I gave?
0
1
null
null
null
null
null
1,235
help-10
5b13086da9684e3ea2de0a38243095ad
406,403,480,463,474,700
SwollenBerk
03/14/2022 02:14:19
I'm having trouble with solving this AOPS question: `If a^3 - b^3 = 24 and a - b = 2, then find all possible values of a + b.`
1
0
null
null
null
null
null
1,235
help-10
5b13086da9684e3ea2de0a38243095ad
406,403,480,463,474,700
SwollenBerk
03/14/2022 02:14:59
so far I've tried factoring a^3 + b^3 into `(a-b)(a^2+ab+b^2`
1
0
null
null
null
null
null
1,235
help-10
5b13086da9684e3ea2de0a38243095ad
330,184,297,950,478,340
suck2015
03/14/2022 02:15:08
well its a^3-b^3
0
1
null
null
null
null
null
1,235
help-10
5b13086da9684e3ea2de0a38243095ad
406,403,480,463,474,700
SwollenBerk
03/14/2022 02:15:11
and I get `ab` as 8
1
0
434,128,031,871,926,300
NARCSOS
9637
NARCSOS
false
1,235
help-10
5b13086da9684e3ea2de0a38243095ad
406,403,480,463,474,700
SwollenBerk
03/14/2022 02:15:12
yeah
1
0
null
null
null
null
null
1,235
help-10
5b13086da9684e3ea2de0a38243095ad
406,403,480,463,474,700
SwollenBerk
03/14/2022 02:15:54
and then I get `(a-b)^2 + ab = 12`
1
0
434,128,031,871,926,300
NARCSOS
9637
NARCSOS
false
1,235
help-10
5b13086da9684e3ea2de0a38243095ad
748,029,603,087,384,700
Yours truly
03/14/2022 02:16:22
Oh wait
0
1
null
null
null
null
null
1,235
help-10
5b13086da9684e3ea2de0a38243095ad
406,403,480,463,474,700
SwollenBerk
03/14/2022 02:16:24
yes, but the book tells me a different answer
1
0
485,903,210,272,391,200
dldh06
2659
dldh06
false
1,235
help-10
5b13086da9684e3ea2de0a38243095ad
748,029,603,087,384,700
Yours truly
03/14/2022 02:16:33
So listen.
0
1
195,951,898,879,066,100
Olly
2605
Olly
false
1,235
help-10
5b13086da9684e3ea2de0a38243095ad
748,029,603,087,384,700
Yours truly
03/14/2022 02:16:38
You have a-b
0
1
null
null
null
null
null
1,235
help-10
5b13086da9684e3ea2de0a38243095ad
748,029,603,087,384,700
Yours truly
03/14/2022 02:16:50
True.
0
1
null
null
null
null
null
1,235
help-10
5b13086da9684e3ea2de0a38243095ad
406,403,480,463,474,700
SwollenBerk
03/14/2022 02:17:11
I get `(a+b)^2 -ab = 12`
1
0
null
null
null
null
null
1,235
help-10
5b13086da9684e3ea2de0a38243095ad
748,029,603,087,384,700
Yours truly
03/14/2022 02:17:12
From here, you can get the value of ab.
0
1
null
null
null
null
null
1,235
help-10
5b13086da9684e3ea2de0a38243095ad
406,403,480,463,474,700
SwollenBerk
03/14/2022 02:17:18
ye
1
0
195,951,898,879,066,100
Olly
2605
Olly
false
1,235
help-10
5b13086da9684e3ea2de0a38243095ad
406,403,480,463,474,700
SwollenBerk
03/14/2022 02:17:20
I get ab as 8
1
0
null
null
null
null
null
1,235
help-10
5b13086da9684e3ea2de0a38243095ad
748,029,603,087,384,700
Yours truly
03/14/2022 02:17:34
ab is 8, yes.
0
1
null
null
null
null
null
1,235
help-10
5b13086da9684e3ea2de0a38243095ad
748,029,603,087,384,700
Yours truly
03/14/2022 02:17:37
Now you have
0
1
434,128,031,871,926,300
NARCSOS
9637
NARCSOS
false
1,235
help-10
5b13086da9684e3ea2de0a38243095ad
748,029,603,087,384,700
Yours truly
03/14/2022 02:17:51
(a-b)^2=a^2-2ab+b^2
0
1
null
null
null
null
null
1,235
help-10
5b13086da9684e3ea2de0a38243095ad
748,029,603,087,384,700
Yours truly
03/14/2022 02:18:03
Get the value of a^2+b^2
0
1
null
null
null
null
null
1,235
help-10
5b13086da9684e3ea2de0a38243095ad
748,029,603,087,384,700
Yours truly
03/14/2022 02:18:13
Then use it to calculate (a+b)^2
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SwollenBerk
03/14/2022 02:18:13
can't I just use this tho?
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Yours truly
03/14/2022 02:18:26
How'd you get that?
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SwollenBerk
03/14/2022 02:18:52
`(a+b)^2 - ab = (a-b)^2 + ab`
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SwollenBerk
03/14/2022 02:19:01
yes I get a+b as +-sqrt(20)
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Yours truly
03/14/2022 02:19:10
What no.
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SwollenBerk
03/14/2022 02:19:10
but the answer in the book doesn't match my answer
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Yours truly
03/14/2022 02:20:02
$$(a+b)^2 -ab = a^2+ab+b^2$$ $$(a-b)^2+ab=a^2-ab+b^2$$
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SwollenBerk
03/14/2022 02:20:04
ah
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TeXit
03/14/2022 02:20:05
**Sakata Yaksha**
https://cdn.discordapp.c…603087384657.png
748029603087384657.png
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SwollenBerk
03/14/2022 02:20:09
ahhh
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SwollenBerk
03/14/2022 02:20:19
forget the signs were different 😄
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SwollenBerk
03/14/2022 02:20:22
my bad
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Yours truly
03/14/2022 02:20:26
Uh huh.
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SwollenBerk
03/14/2022 02:20:27
thank you
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Yours truly
03/14/2022 02:20:33
You're welcome.
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SwollenBerk
03/14/2022 02:22:08
.close
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Fegres
11/09/2021 06:37:02
Hi How can I solve $arccos(y - x)$ ?
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TeXit
11/09/2021 06:37:05
**Fegres**
https://cdn.discordapp.c…060455665664.png
458300060455665664.png
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zafakhyousay
03/14/2022 02:46:44
how to do the induction? or is this correct/enough?
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zafakhyousay
03/14/2022 02:57:19
@Cogwheels of the mind lmao last one last one
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Cogwheels of the mind
03/14/2022 03:19:19
It is already written in your picture
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zafakhyousay
03/14/2022 03:19:34
so it is correct?
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