Question

Solve the matrix equation:
|4 -5||m|=|32|
|1 2||n|=|-5|

I don't get it

Answer 1

If I read your matrices correctly, multiplying them would result in the two linear equations:
4m - 5n = 32 and
m + 2n = -5

I am sure you can solve those

Answer 2

thats not how they solve it in my book. the steps are to find the inverse of the coefficient matrix then multiply each side of the matrix by the inverse matrix

Answer 3

A= |4 -5|
|1 2|

X= |m|
|n|

B= |32|
|-5|