Fill in the blanks If A is a matrix of order 3 × 3, then |3A| = ___.

Question

Philoid · Accepted Answer

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

Explanation:

We know that if A = [a_ij]_3×3, then |k.A| = k³|A|

∴ |3A| = 3³ |A| = 27 |A|

Fill in the blanksIf A is a matrix of order 3 × 3, then |3A| = ___.