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Question
Given A = `[(2, -1),(2, 0)]`, B = `[(-3, 2),(4, 0)]` and C = `[(1, 0),(0, 2)]`, find the matrix X such that : A + X = 2B + C.
Solution
Given, A + X = 2B + C
`[(2, -1),(2, 0)] + X = 2[(-3, 2),(4, 0)] + [(1, 0),(0, 2)]`
`[(2,-1),(2, 0)] + X = [(-6, 4),(8, 0)] + [(1, 0),(0, 2)]`
`[(2, -1),(2, 0)] + X = [(-5, 4),(8, 2)]`
`X = [(-5, 4),(8, 2)] - [(2, -1),(2, 0)]`
`X = [(-7, 5),(6, 2)]`
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