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Choose the correct option.
Consider the matrix A of order 3 × 3 with |A| = 5. If any two columns are interchanged in A, then…
Consider the matrix $A$ of order $3 \times 3$ with $|A| = 5$. If any two columns are interchanged in $A$, then $|A|$ is:
- a$-5$
- b$(-5)^3$
- c$5$
- d$5^3$
Answer
Answer
Correct option: a
Answer: (a) $-5$
Interchanging any two columns changes the sign of the determinant, so $|A|$ becomes $-5$.