Question

If A is a matrix of order 3 × 3, then |3A| = ______.

Answer 1

If A is a matrix of order 3 × 3, then |3A| = 27|A|.

Explanation:

We know that for a matrix of order 3 × 3

|KA| = K³|A|

∴ |3A| = 3³|A|

= 27|A|