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Question
Find the matrix X if 2X + `[(1, 3),(5, 7)] = [(5, 7),(9, 5)]`
Options
`[(-2, -2),(2, -1)]`
`[(2, 2),(2, -1)]`
`[(1, 2),(2, 2)]`
`[(2, 1),(2, 2)]`
Solution
`[(2, 2),(2, -1)]`
Explanation;
2X + `[(1, 3),(5, 7)] = [(5, 7),(9, 5)]`
⇒ 2X = `[(5, 7),(9, 5)] - [(1, 3),(5, 7)]`
2X = `[(4, 4),(4, -2)]`
⇒ X = `1/2 [(4, 4),(4, -2)]`
⇒ X = `[(2, 2),(2, -1)]`
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