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प्रश्न
Answer the following question:
Find x, y, z if `{[(1, 3, 2),(2, 0, 1),(3, 1, 2)] + 2[(3, 0, 2),(1, 4, 5),(2, 1, 0)]} [(1),(2),(3)] = [(x),(y),(z)]`
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उत्तर
`{[(1, 3, 2),(2, 0, 1),(3, 1, 2)] + 2[(3, 0, 2),(1, 4, 5),(2, 1, 0)]} [(1),(2),(3)] = [(x),(y),(z)]`
∴ `{[(1, 3, 2),(2, 0, 1),(3, 1, 2)] + [(6, 0, 4),(2, 8, 10),(4, 2, 0)]} [(1),(2),(3)] = [(x),(y),(z)]`
∴ `[(7, 3, 6),(4, 8, 11),(7, 3, 2)] [(1),(2),(3)] = [(x),(y),(z)]`
∴ `[(7 + 6 + 18),(4 + 16 + 33),(7 + 6 + 6)] = [(x),(y),(z)]`
∴ `[(31),(53),(19)] = [(x),(y),(z)]`
∴ By equality of matrices, we get
x = 31, y = 53, z = 19
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