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)

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