How to find the missing matrix?

Question

I need help finding f  in this equation:

 

2  3

4  5

 

x

 

f

 

=

 

12  16 

10  15

 

 

IMPORTANT!!: CROSS PRODUCT NEEDS TO ME USED! NOT DOT PRODUCT!

Answer 1

You have 3 matrices A, f, and B, such that

Af = B

Then

f = A^-1B

Evaluate A^-1 and multiply B on its left side by A^-1. Do you know how to evaluate the inverse of a 2x2 matrix?