Q. 54.5( 11 Votes )

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

Answer :

Given: |3A| = k|A|


Now, we know that |xA| = xn|A|, where n is the order of square matrix.


Therefore,


|3A| = 33|A|


|3A| = 27|A|


Hence, k = 27.


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