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प्रश्न
If A is a 3 × 3 invertible matrix, then what will be the value of k if det(A–1) = (det A)k
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उत्तर
For any invertible square matrix A, the determinant of its inverse is given by:
`det(A^-1) = 1/det(A)`
`1/det(A) = (detA)^k`
(det A)−1 = (det A)k ⇒ k = −1
k = −1
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