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प्रश्न
A = `[(alpha, 0),(1, 1)], "B" = [(1, 0),(2, 1)]` find α, if A2 = B.
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उत्तर
A2 = B
∴ `[(alpha, 0),(1, 1)] [(alpha, 0),(1, 1)] = [(1, 0),(2, 1)]`
∴ `[(alpha^2 + 0, 0 + 0),(alpha + 1, 0 + 1)] = [(1, 0),(2, 1)]`
∴ `[(alpha^2, 0),(alpha + 1, 1)] = [(1, 0),(2, 1)]`
∴ By equality of matrices, we get
∴ α2 = 1 and α + 1 = 2
∴ α = ± 1 and α = 1
∴ α = 1
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