Question

Given:

A =  

	1	−1
	−2	3

B =  

	1	5
	8	−8

C =  

	1	2
	3	4

Solve:

AX + B = C

X =

Answer 1

Given A = , B = and C =

Let X =

Given AX + B = C

Thus, AX = C - B

= -

=  

Equating we get

a - c = 0 implies a = c

And -2a +3c = -5

-2a +3a = -5 implies a = -5

Thus, a = c = -5

Also that b -d = -3 implies b = -3+d

And -2b + 3d = 12

-2(-3+d) + 3d = 12

6 -2d +3d = 12

d = 12 - 6 = 6

So, b = -3+6 = 3

Thus, a = -5 , b = 3 , c = -5 and d = 6

Hence, X =