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If A is an invertible matrix of order 2,...

If A is an invertible matrix of order 2, then det `(A^(-1))`is equal to
(A) det (A) (B) `1/(det(A)` (C) `1` (D) `0`

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To solve the problem, we need to find the determinant of the inverse of an invertible matrix \( A \) of order 2. Let's go through the steps systematically. ### Step 1: Understanding the relationship between a matrix and its inverse We know that for any invertible matrix \( A \), the product of \( A \) and its inverse \( A^{-1} \) equals the identity matrix \( I \): \[ A \cdot A^{-1} = I \] ...
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