Q. 95.0( 3 Votes )

If A is a square

Answer :

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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