SOLUTION: Solve for Matrix X. [2 1]X=[4 3] [5 3] [3 2] step 2 [3 -1] [4 3] [-5 2] [3 2] Please, I need help wth the next step.

Algebra ->  Matrices-and-determiminant -> SOLUTION: Solve for Matrix X. [2 1]X=[4 3] [5 3] [3 2] step 2 [3 -1] [4 3] [-5 2] [3 2] Please, I need help wth the next step.      Log On


   

Question 189003This question is from textbook saxon algebra 2
: Solve for Matrix X.
[2 1]X=[4 3]
[5 3] [3 2]
step 2
[3 -1] [4 3]
[-5 2] [3 2]
Please, I need help wth the next step. This question is from textbook saxon algebra 2

Answer by Edwin McCravy(20086) About Me  (Show Source):
You can put this solution on YOUR website!

%28matrix%282%2C2%2C2%2C1%2C5%2C3%29%29X+=+%28matrix%282%2C2%2C4%2C3%2C3%2C2%29%29

The inverse of %28matrix%282%2C2%2C2%2C1%2C5%2C3%29%29 is %28matrix%282%2C2%2C3%2C-1%2C-5%2C2%29%29
So we left-multiply both sides by this inverse:









X+=+%28matrix%282%2C2%2C9%2C7%2C-14%2C-11%29%29

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Check:

%28matrix%282%2C2%2C2%2C1%2C5%2C3%29%29X+=+%28matrix%282%2C2%2C4%2C3%2C3%2C2%29%29







%28matrix%282%2C2%2C4%2C3%2C3%2C2%29%29+=+%28matrix%282%2C2%2C4%2C3%2C3%2C2%29%29

Edwin