CUET · MATHS · PYQ PAPER 2025
If a matrix \(A=\left[\begin{array}{cc}5 & -8 \\ -3 & 5\end{array}\right]\) then which of the following is / are TRUE?
(A) |A| = 1
(B) A is a singular matrix.
(C) \(-2 A=\left[\begin{array}{cc}10 & -16 \\ -6 & 10\end{array}\right]\)
(D) \(A I=\left[\begin{array}{ll}5 & 0 \\ 0 & 5\end{array}\right] I\) is an identity matrix of order 2.
Choose the correct answer from the options given below:
- A (A) only
- B (A) and (C) only
- C (A), (B) and (C) only
- D (A), (B), (C) and (D) only
Answer & Solution
Correct Answer
(A) (A) only
Step-by-step Solution
Detailed explanation
\(|A| = (5)(5) - (-8)(-3)\) \(|A| = 25 - 24 = 1\) Therefore, (A) is TRUE. Since \(|A| = 1 \neq 0\), A is non-singular. Therefore, (B) is FALSE.…
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