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Question
Find a matrix X such that 2A + B + X = O, where
`A= [[-1 2],[3 4]],B= [[3 -2],[1 5]]`
Solution
2A+B+X=0
` ⇒2 [[-1 2],[3 4]]+[[3 -2],[1 5]]+ x=[[0 0],[0 0]]`
`⇒[[-2 4],[6 8]]+[[3 -2],[1 5]]+x=[[0 0],[0 0]]`
`⇒[[-2+3 4-2],[6+1 8+5]]+x = [[0 0],[0 0]]`
`⇒ [[1 2],[7 13]]+x = [[0 0],[0 0]]`
`∴ x=[[-1 -2],[-7 -13]]`
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