Question

If $A$ is a square matrix of order $3$ and a is a real number, then determinant $|\alpha A|$ is equal to

• A. ${\alpha }^2|A|$
• B. $\alpha |A|$
• C. ${\alpha }^3|A|$
• D. None of these

Answer 1

Answer: (C)

Order of square matrix A is 3 and $a\in R.$
Then, $|\alpha A{|}_{3\times 3}={\alpha }^3|A{|}_{3\times 3}$