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Mathematics · JEE | DETERMINANTS
हिन्दीLet \( A \) be a square matrix of order \( 3 \) with \( |A| = 6 \). What is the value of \( |3A| \)?
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Correct answer · Option D
\( 162 \)
Explanation
For an \( n \times n \) matrix \( A \), \( |kA| = k^n |A| \). Here \( n=3, k=3, |A|=6 \), so \( |3A| = 3^3 \times 6 = 27 \times 6 = 162 \).
