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Mathematics · JEE | DETERMINANTS
हिन्दीIf \( A \) and \( B \) are square matrices of order \( 3 \) such that \( |A| = -2 \) and \( |B| = 3 \), then the determinant of the matrix \( 2AB \) is:
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Correct answer · Option A
\( -48 \)
Explanation
For an \( n \times n \) matrix, \( |k M| = k^n |M| \). Here \( n=3 \), so \( |2AB| = 2^3 |AB| = 8 |A| |B| = 8(-2)(3) = -48 \).
