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Question
If I is the unit matrix of order 2 × 2; find the matrix M, such that `M - 2I = 3[(-1, 0),(4, 1)]`
Sum
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Solution
`M - 2I = 3[(-1, 0),(4, 1)]`
`M = 3[(-1, 0),(4, 1)] + 2I`
`M = 3[(-1, 0),(4, 1)] + 2[(1, 0),(0, 1)]`
`M = [(-3, 0),(12, 3)] + [(2, 0),(0, 2)]`
`M = [(-1, 0),(12, 5)]`
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