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}} $