Q107 / 180 · KCET 2018 · Mathematics
Let \( A \) be a square matrix of order \( 3 \times 3 \), then \( |5 A|= \)
- A\( 5|A| \)
- Correct answerB\( 125|A| \)
- C\( 25|\mathrm{~A}| \)
- D\( 15|A| \)
Solution
We know that, for \( n \times n \) matrix \( |k A|=k^{n}|A| \).
So, for \( 3 \times 3 \) matrix is
\( |5 A|=5^{3}|A|=125|A| \)
So, for \( 3 \times 3 \) matrix is
\( |5 A|=5^{3}|A|=125|A| \)
Hence, the correct answer is option: 'B'.