Q2 of 110 Page 258

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

Theorem: If Let A be k × k matrix then |pA|=pk|A|.

Given: k=3 and p=3.


|3A|=33 × |A|


=27|A|.


Comparing above with k|A| gives k=27.


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