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Let A be a non-singular square matrix of...

Let A be a non-singular square matrix of order 3 `xx`3. Then |adj A| is equal to
(A) `|A|` (B) `|A|^2`(C) `|A|^3` (D) `3|A|`

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To solve the problem, we need to find the determinant of the adjoint of a non-singular square matrix \( A \) of order \( 3 \times 3 \). ### Step-by-Step Solution: 1. **Understanding the Relationship**: We know that for any square matrix \( A \), the relationship between \( A \) and its adjoint (denoted as \( \text{adj} A \)) is given by: \[ A \cdot \text{adj} A = |A| I_n ...
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