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/sci/ - Science & Math

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4089962 No.4089962 [Reply] [Original]

Hey /sci/

Anyone able to solve this system of linear equations?

x + 2y + λz = 0
2x + 3y − 2z = λ
λx + y + (λ^2)z = 3

Much love.

>> No.4089987

>2011
>still unable to solve linear equations

>> No.4089994

>>4089987
It's the lambda screwing me over, I'm right in assuming it's a constant?

>> No.4090002
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4090002

>> No.4090013

>>4090002
Thanks, I've got a test soon so any chance you know the method?

>> No.4090014

>>4089994
Yes, and your answer will be in terms of lambda.

>> No.4090016

>>4090002
You divided by 0.

>> No.4090020

>>4090013
Gaussian elemination, the standard way of doing stuff like this by hand.

>> No.4090024

>>4090020
>gaussian elimination
>by hand
>instead of cramer

>> No.4090025

>>4090020
I tried row reduction and using eigenvalues but failed

>> No.4090026
File: 452 KB, 500x600, cutey_Emma_redsihuett.png [View same] [iqdb] [saucenao] [google]
4090026

>>4090002
Y U FullSimplify everything >.<

^^

>> No.4090036

>>4090026
I don't like your sexy function. Here, take that!

>> No.4090043

>>4089962
plug into matrix
1 2 L 0
2 3 -2 L
L 1 L^2 3
from second line subtract first line multiplied by two (you get 0 -1 -2-2L L)
from third line subtract first line multiplied by lambda (you get rid of the lambda squared this way and get (0 1-2L 0 3)
know you know (1-2L)y=3, you get y, plug it into the the second equation, get z, plug them both in first equation, get x.

>> No.4090044

>>4090024
Oh, right, Cramer. You can tell it's been some time since I had to do this.

>> No.4090046
File: 294 KB, 500x367, cutey_Emma_lav.png [View same] [iqdb] [saucenao] [google]
4090046

>>4090036
>FullSimplify
btw. wanna hear a cool story?
Last month I found a bug in Mathematica.

>> No.4090051

>>4090046 Last month I found a bug in Mathematica.
The user interface?

>> No.4090057

>>4090043
Thanks, 1 internet to you

>> No.4090060 [DELETED] 
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4090060

>>4090051

>> No.4090076

>>4090046
>>4090026

Oh, it's this faggot again.

>> No.4090081
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4090081

>>4090076
ah, you're the person against people with red hair?

>> No.4090117

>>4090076
funny. he sure as hell looks more knowledgeable than you.

>> No.4090123
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4090123

>>4090117