#### Please solve RD Sharma class 12 chapter 5 Determinants exercise multiple choise question 37 maths textbook solution

Correct option (d)

Hint:

We use |kA| = kn|A|, where n is order of A.

Given:

|A| = 8 and A is 3x3 matrix.

We have to find |3A|.

Solution:

Here  |A| = 8

We know that

|kA| = kn|A|, where n is order of A.

$\therefore$ |3A| = 33 |A|

=27x8 = 216            [Since A is 3x3 matrix]

Hence |3A| = 216