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Mathematics · JEE | DETERMINANTS
हिन्दीLet \( A \) be a \( 3 \times 3 \) matrix. If \( |A| = 7 \), then the value of \( |\text{adj } (3A)| \) is:
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Correct answer · Option C
\( 3^{6} \times 7^{2} \)
Explanation
We have \( |\text{adj } B| = |B|^{n-1} \). Here \( B = 3A \), so \( |3A| = 3^3 |A| = 27 \times 7 \). Thus \( |3A|^2 = (27 \times 7)^2 = 3^6 \times 7^2 \).
