Soving Equations in Matrix\ (a) Suppose

A,B

are two known matrices, and

x

is an unknown matrix. Solve the following equations (in each case, assume the respective matrix operations are defined):\ i.

2x=3A+B

\ ii.

3x+A=-B

\ iii.

3x+4A=-B

\ iv. Assume

AB

is defined, and

3x+AB=-B

. Further, if\

A=([1,1],[1,2]),B=([1,1,-1],[1,2,1])

\ Then, compute

x

.

Soving Equations in Matrix (a) Suppose A,B are two known matrices, and X is an unknown matrix. Solve the following equations (in each case, assume the respective matrix operations are defined): i. 2X=3A+B ii. 3X+A=B iii. 3X+4A=B iv. Assume AB is defined, and 3X+AB=B. Further, if A=(1112),B=(111211) Then, compute X