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Let A be a square matrix of order 3xx3, ...

Let A be a square matrix of order `3xx3`, then `|k A|`is equal to
(A) `k|A|` (B) `k^2|A|` (C) `K^3|A|` (D) `3k |A|`

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To solve the problem, we need to determine the value of \(|kA|\) where \(A\) is a square matrix of order \(3 \times 3\) and \(k\) is a constant. ### Step-by-Step Solution: 1. **Understanding the Determinant Property**: We know a property of determinants that states if a square matrix \(A\) of order \(n\) is multiplied by a scalar \(k\), the determinant of the resulting matrix \(kA\) can be expressed as: \[ |kA| = k^n |A| ...
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