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Question
Answer the following question:
Find x, y if, `[(0, -1, 4)]{2[(4, 5),(3, 6),(2, -1)] + 3[(4, 3),(1, 4),(0, -1)]} = [(x, y)]`
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Solution
`[(0, -1, 4)]{2[(4, 5),(3, 6),(2, -1)] + 3[(4, 3),(1, 4),(0, -1)]} = [(x, y)]`
∴ `[(0, -1, 4)] {[(8, 10),(6, 12),(4, -2)] + [(12, 9),(3, 12),(0, -3)]} = [(x, y)]`
∴ `[(0, -1, 4)] [(20, 19),(9, 24),(4, -5)] = [(x, y)]`
∴ `[(0 – 9 + 16, 0 – 24 – 20)] = [(x, y)]`
∴ [(7 −44)] = [(x, y)]
∴ by the equality of matrices, x = 7, y = – 44.
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