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प्रश्न
Solve the following :
if A = `[(1, 2),(-1, 3)]`, then find A3.
उत्तर
A2 = A · A = `[(1, 2),(-1, 3)][(1, 2),(-1, 3)]`
= `[(1 - 2, 2 + 6),(-1 - 3, -2 + 9)]`
∴ A2 = `[(-1, 8),(-4, 7)]`
∴ A3 = A2 · A = `[(-1, 8),(-4, 7)][(1, 2),(-1, 3)]`
= `[(-1 - 8, -2 + 24),(-4 - 7, -8 + 21)]`
∴ A3 = `[(-9, 22),(-11, 13)]`.
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