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Choose the correct option.
If A is a square matrix of order 3 and its determinant is |A| = -3, then the value of |-4A| is:
If $A$ is a square matrix of order $3$ and its determinant is $|A| = -3$, then the value of $|-4A|$ is:
- a202
- b192
- c-212
- d-192
Answer
Answer
Correct option: b
Answer: (b) 192
For a square matrix of order $n = 3$, $|kA| = k^n |A|$. Here, $|-4A| = (-4)^3 |A| = -64 \times (-3) = 192$.