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