Question

If A is a square matrix of order 4 and |A| = 4, then |2A| will be:

• A. 8
• B. 64
• C. 16
• D. 4

Answer 1

Answer: (B)

64

Answer 2

For an $n×n$ matrix, $|kA|$= $k^n$ ·|A|.
Here, $|2A|$ = 24·$\times$4 = 64