Question

Let A be a square matrix of order $3 \times 3$, then $|5A| =$

• A. $5|A|$
• B. $125 | A |$
• C. $25 | A |$
• D. $15 |A|$

Answer 1

Answer: (B)

$125 | A |$

Answer 2

We know that $| kA | = k^n | A |$, where n is the order of the matrix A $\therefore \, | 5A | = 5^3 | A | = 125 | A |$