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Choose the correct option.
If A is a square matrix of order 3, then |2A| is equal to:
If $A$ is a square matrix of order 3, then $|2A|$ is equal to:
- (a)$2|A|$
- (b)$4|A|$
- (c)$8|A|$
- (d)$6|A|$
Answer
Answer
Correct option: (c)
Answer: (c) $8|A|$
For a square matrix of order $n$, $|kA| = k^n|A|$. Here $|2A| = 2^3|A| = 8|A|$.