Question

Given matrix Y = [4,8,-3,-6] and matrix Z = [-1,-2,7,2]. What is matrix X if 1/2(X+Z)=Y?

Answer 1

Answer: [9,18,-13,-14]

Answer 2

[9,14,-13,-14]

Explanation:

if 1/2(X+Z)=Y

X+Z=2Y

X+Z=2([4,8,-3,-6])=[8,16,-6,-12]

X=2Y-Z

X=[8,16,-6,-12]-[-1,-2,7,2]=[9,14,-13,-14]

X=[9,14,-13,-14]