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I have all the other T and alpha values and I'm trying to solve for a0 a1 and a2 enter image description here

I can't simply divide them enter image description here

so I figure in need to do something like this

enter image description here

But i'm not sure how to go about it? What's this called? Do I substitute all the a, a1, a2 values for one another? Can someone just tell me what kind of problem this is so I may have better luck googling? Thank you.

In your link I assume the following would yield the answer:

enter image description here

but I don't know how to compute what appears to be one matrix divided by another [Matrix]/[Matrix] What's that called?

Regardless following this video to find A^-1 and then multiplying that by B like in this other video will give me what I want yes? ( a0, a1, a2 )

Squirrl
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1 Answers1

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On your $A\cdot X=B$ problem, if you know the matrix $A$ and the right vector $B$, then the solution is simply $X = A^{-1}\cdot B$. Or did I missed something ?

Or if you really want to play manually with the system of equations, there is the classical Gauss-Jordan elimination trick, combining lines togethers to create zeros in the matrix, up to the point it becomes trivial to solve (triangular, or even diagonal).

Fabrice NEYRET
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  • How do i find A^-1 ? – Squirrl May 21 '16 at 09:51
  • Is that really all I have to do? X = A^-1 * B ? – Squirrl May 21 '16 at 10:05
  • Yes. ( $A^-1$ is the inverse of the 3x3 matrix ). For matrix inversion formulas, see https://en.wikipedia.org/wiki/Cramer%27s_rule#Explicit_formulas_for_small_systems – Fabrice NEYRET May 21 '16 at 10:47
  • Thank you for your help, and sorry to be so annoying, but I just want to make sure I get this correct. If you can validate what I added above, the green mark is yours. Thank you. – Squirrl May 21 '16 at 16:51
  • these are not matrices, these are determinants. click the link just above (2D case) to see how to compute them. (In which class level are you ? The problem you want to solve seems a lot more advance than the level where system solving and determinants are usually tauch :-) ). – Fabrice NEYRET May 21 '16 at 19:33