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Question
If I is the unit matrix of order 2 × 2; find the matrix M, such that `5M + 3I = 4[(2, -5),(0, -3)]`
Solution
`5M + 3I = 4[(2, -5),(0, -3)]`
`5M = 4[(2, -5),(0, -3)] - 3I`
`5M = 4[(2, -5),(0, -3)] - 3[(1, 0),(0, 1)]`
`5M = [(8, -20),(0, -12)] - [(3, 0),(0, 3)]`
`5M = [(8 - 3, -20 - 0),(0 - 0, -12 - 3)]`
`5M = [(5, -20),(0, -15)]`
`M = 1/5[(5, -20), (0, -15)] = [(1, -4),(0, -3)]`
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