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1761918 No.1761918 [Reply] [Original]

Hey.. I'm trying to teach myself Linear Algebra (I can't afford school). I'm having trouble with this problem.

I try to row reduce, using the simple elementary steps, but I can't seem to get a leading 1 in the first column, I always end up with an "a".

I would greatly appreciate help with this. I care for the steps and ways you go about doing such problem more than the actual answer.

Thanks a lot.

Will dump something in return

PIC RELATED

>> No.1761919
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1761919

1

>> No.1761921
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2..

>> No.1761922
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3...

>> No.1761923
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4....

>> No.1761924
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5.....

anyone?

>> No.1761928
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1761928

6
last one for chem

Please I really wanna solve this I've been trying for hours..

>> No.1761929
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1761929

Physics 1

>> No.1761932
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1761932

physics 2

please

>> No.1761933

Take the determinant and solve for when it's equal to zero. Then make sure the equations have at least one solution for each value of a for which there are no unique solutions.

>> No.1761934
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1761934

>>1761933
I can't get a leading 1 in the first column, I always have atleast an 'a'.

>> No.1761935
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1761935

bump

>> No.1761938
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1761938

5 for physics
I still need help solving this system!

>> No.1761939

For a=2.

>> No.1761941
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1761941

last physics

HALP

>> No.1761944

>>1761939
>For a=2.
> I care for the steps and ways you go about doing such problem more than the actual answer.

>> No.1761945

Determinants.

>> No.1761950

bummmp

>> No.1761951

Am I allowed to divide a row by a ?
If not, how do you get a leading 1???

>> No.1761952

>>1761918

row reduce
you will find that the last row contains all zeros except for a^2 - a in the b column

so there are no solutions for a /= +/- 1
and infinite solutions for a = +/- 1

>> No.1761954

I did linear algebra at uni so...

for infinite solutions LHS=0=RHS Ie. a homogenous matrix where a,x,y,z have values that add to zero) Place all the values onthe LHS, and create a matrix, and row reduce it.

Your matrix should start like this
{a 1 2 |0 }
{-a -2 a |-a^2+2a}
{2a 1 (6+a) |a }
So yeah, organize your matrix like this

>> No.1761960

>>1761952
I can't get a leading 1 in the first column, is that normal?

>> No.1761971

>>1761960

so you have
|a 1 2 | 0 |
|0 -1 2+a | -a^2 + 2a|
|0 0 0 | a^2 - a |
right?

its not important getting rid of that entry.
unless you want to fully GJ pivot it, but in this case it is easy to see the solutions without doing so.


whats the question your trying to answer?

thats no problem, they are just coefficients.
for the purpose of GJ pivoting you would need to divide through by a.

>> No.1761975

>>1761971
oops ignore those bottom 2 lines lol

>> No.1762019

I would help you If I was able. Thanks for the different notes, though.
Good luck.
Why do you want to learn algebra if you're not gonna go to school anyway? It has no use when you are not going to evolve it and use it for something else than solving algebra problems.

>> No.1762026

Do you have some mathematic notes, or maybe just the source?
I can't help you with your problem, sorry..

>> No.1762062

>>1761971
this. You're able to reduce the matrix into a form where it can be seen to have infinitely many solutions. This guy's done it for you.

>> No.1762110

Can you guys that help explain what the fuck happens in your mind that you think, "Wow! Someone can't do there homework. I've *got* to step in here!"

I mean, go feed the homeless or something.

>> No.1762190

>>1762110
It's similar to when I correct someone's misuse of their/there/they're.

>> No.1762200

>>1762190
> correct an intentional misspelling
Your dumb.

>> No.1762206

>>1762110
Helping others with math improves one's own understanding math. Faggot.

>> No.1762214

>>1762200
>Claim that an obvious misspelling was intentional.
>Hope that an intentional misspelling in a following post will make your claim credible.

>> No.1762217

>>1762206
I didn't realize there was such a shortage of math problems. Well, in that case, please carry on.