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If A and B are square matrices each of order 3 and |A| = 5, |B| = 3, then the value of |3AB| is ______. - Mathematics

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Question

If A and B are square matrices each of order 3 and |A| = 5, |B| = 3, then the value of |3AB| is ______.

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Solution

If A and B are square matrices each of order 3 and |A| = 5, |B| = 3, then the value of |3AB| is 405.

Explanation:

|3AB| = 33 |A| |B|

= 27 × 5 × 3

|3AB| = 405

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