SOLUTION: Find matrix X: 4. [3 4] [-3 -2] * X = [10 -10] [-8 8] I have no clue where to even begin with this, I apperciate any help you have to offer me, id love to see the steps and

Algebra ->  Matrices-and-determiminant -> SOLUTION: Find matrix X: 4. [3 4] [-3 -2] * X = [10 -10] [-8 8] I have no clue where to even begin with this, I apperciate any help you have to offer me, id love to see the steps and      Log On


   



Question 162532: Find matrix X:

4. [3 4] [-3 -2] * X = [10 -10] [-8 8]
I have no clue where to even begin with this, I apperciate any help you have to offer me, id love to see the steps and correct answer. Thank you so much!

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!


First find the inverse of your first matrix, which we'll call [A].
[A]=%28matrix%282%2C2%2C3%2C4%2C-3%2C-2%29%29
and the inverse of A called [A]inv.
[A]inv=%281%2F6%29%2A%28matrix%282%2C2%2C-2%2C-4%2C3%2C3%29%29
and then matrix multiply both sides to solve for [X].
.
.
.
The problem would then look like this,
[A][X]=[B]
[A]inv[A][X]=[A]inv[B]
[I][X]=[A]inv[B]
[X]=[A]inv[B]
.
.
.
So we do the matrix multiplication,
[X]=
[X]=%28matrix%282%2C2%2C2%2C-2%2C1%2C-1%29%29