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asked ago in Mathematics by (18.9k points)

If A is a 3 × 3 matrix, |A|  0 and |3A| = k |A|, then write the value of k.

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answered ago by (21k points)
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Here, |3A| = k|A| 

33 |A| = k|A| [ |kA| = kn|A| where n is order of A] 

⇒ 27 |A| = k|A| 

⇒ k = 27

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