CUET · MATHS · PYQ PAPER 2023
If \(A\) and \(B\) are non singular square matrices of the same order,
then which of the statements are true ?
(A) \((\operatorname{adj} A)(\operatorname{adj} B)=(\operatorname{adj} B)(\operatorname{adj} A)\)
(B) \((A B)^T=A^T B^T\), if \(A^T\) denotes transpose of \(A\)
(C) \((A B)^{-1}=B^{-1} A^{-1}\)
(D) Multiplication of matrices is not commutative
- A (A) and (C) Only
- B (A) and (D) Only
- C (B) and (C) Only
- D (C) and (D) Only
Answer & Solution
Correct Answer
(D) (C) and (D) Only
Step-by-step Solution
Detailed explanation
Statement (A) is false. Statement (B) is false. Statement (C) is true. Statement (D) is true. The correct statements are (C) and (D).
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