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Question
If `[(1, 4),(-2, 3)] + 2M = 3[(3, 2),(0, -3)]`, find the matrix M.
Solution
`[(1, 4),(-2, 3)] + 2M = 3[(3, 2),(0, -3)]`
`2M = 3[(3, 2),(-2, 3)] - [(1, 4),(-2, 3)]`
= `[(9, 6),(0, -9)] - [(1, 4),(-2, 3)]`
= `[(9 - 1, 6 - 4),(0 - (-2), -9 - 3)]`
= `[(8, 2),(2, -12)]`
∴ `M = (1)/(2)[(8, 2),(2, -12)]` ...(Dividing by 2)
= `[(4, 1),(1, -6)]`
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