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प्रश्न
If A = `[(2, 2),(-3, 2)]` and B = `[(0, -1),(1, 0)]`, then find the matrix (B−1 A−1)−1.
उत्तर
(B−1 A−1)−1 = [(AB)−1]−1 .......[∵ (AB−1) = B−1 A−1]
= AB
∴ (B−1 A−1)−1 = `[(2, 2),(-3, 2)] [(0, -1),(1, 0)]`
= `[(0 + 2, -2 + 0),(0 + 2, 3 + 0)]`
= `[(2, -2),(2, 3)]`
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