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Let det M denotes the determinant of the matrix M. Let A and B be 3 x 3 matrices with det A = 3 and det B = 4. Then the det (2AB) is -

Question

Let det M denotes the determinant of the matrix M. Let A and B be 3 × 3 matrices with det A = 3 and det B = 4. Then the det (2AB) is

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MCQ

Solution

Explanation:

Given, A and B are 3 × 3 martices and |A| = 3, |B| = 4

∴ |2 AB| = 2³ |AB| = 8 |A|B| = 8 × 3 × 4 = 96

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Let det M denotes the determinant of the matrix M. Let A and B be 3 x 3 matrices with det A = 3 and det B = 4. Then the det (2AB) is -

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Let det M denotes the determinant of the matrix M. Let A and B be 3 x 3 matrices with det A = 3 and det B = 4. Then the det (2AB) is -

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