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Mathematics · JEE | DETERMINANTS
हिन्दीIf \( A \) is a non-singular matrix of order \( 3 \) such that \( A^2 = 2A \), then the determinant \( |\text{adj } A| \) is equal to:
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Correct answer · Option B
\( 64 \)
Explanation
Taking determinant on both sides of \( A^2 = 2A \): \( |A|^2 = 2^3 |A| = 8 |A| \). Since \( A \) is non-singular, \( |A| \ne 0 \implies |A| = 8 \). Thus \( |\text{adj } A| = |A|^{3-1} = 8^2 = 64 \).
