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Question

If A is a square matrix of order 3 and |A| = 5 then |3A| = ?


A

45

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B

32

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C

15

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D

135

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Solution

The correct option is D

135


In general, if A = kB, where A and B are square matrices of order n, then |A| = kn|B|, where n = 1, 2, 3.....

Here, |A| = 5 order 3 So |3A| = 3³ x 5 = 135


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