SOLUTION: Find matrix X: 3. [6 5] [4 -2] * X = [18 49] [-20 6] I'm so confused with this problem. I would love to see the correct steps,and correct answer. I could really use some help

Algebra ->  Matrices-and-determiminant -> SOLUTION: Find matrix X: 3. [6 5] [4 -2] * X = [18 49] [-20 6] I'm so confused with this problem. I would love to see the correct steps,and correct answer. I could really use some help      Log On


   



Question 162528: Find matrix X:
3. [6 5] [4 -2] * X = [18 49] [-20 6]
I'm so confused with this problem. I would love to see the correct steps,and correct answer. I could really use some help with this, Thank you so much for your time!

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

First find the inverse of your first matrix, which we'll call [A].
[A]=%28matrix%282%2C2%2C6%2C5%2C4%2C-2%29%29
and the inverse of A called [A]inv.
[A]inv=-%281%2F32%29%2A%28matrix%282%2C2%2C-2%2C-5%2C-4%2C6%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%2C-2%2C4%2C6%2C5%29%29