Find the inverses of the matrices.

Question

Let A = 1 2
5 12

b1 = -1
3

b2 = 1
-5

b3 = 2
6

b4 = 3
5

Find A^-1, and use it to solve the four equations.

Ax = b1, Ax = b2, Ax = b3, Ax = b4

Answer 1

Only A has an inverse. Only square matrices have inverses. A^-1 =

6 -1
-5/2 1/2

Now just plug it in