If is a square matrix of order and its determinant is , then the value of 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
AIWritten by AI (gemini-2.5-pro) - it can contain mistakes.
Correct option: b
Answer: (b) 192
For a square matrix of order $n = 3$, $|kA| = k^n |A|$. Here, $|-4A| = (-4)^3 |A| = -64 \times (-3) = 192$.
From ISC 2026 Mathematics Paper 1, question 1(i).