Q9 of 46 Page 1

If A is a square matrix of order 3 and |3A| = K|A|, then write the value of K.

We are given that, A is a square matrix of order 3.

And |3A| = K|A|


We need to find the value of K.


We know that,


If n is the order of a square matrix A, then |3A| = 3n|A|.


Here, 3 is the order of square matrix A, then


|3A| = 33|A|


But, |3A| = K|A|


⇒ K|A| = 33|A|


Comparing Left Hand Side (LHS) and Right Hand Side (RHS), we get


K = 33


⇒ K = 27


Thus, the value of K is 27.


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