CUET · MATHS · PYQ PAPER 2023
If matrix \(A=\left[\begin{array}{ll}3 & x \\ y & 0\end{array}\right]\) and \(A^{\prime}=A\), then :
- A \(x=y\)
- B \(x=0, y=3\)
- C \(x=3, y=0\)
- D \(x+y=3\)
Answer & Solution
Correct Answer
(A) \(x=y\)
Step-by-step Solution
Detailed explanation
\(A^{\prime}=\left[\begin{array}{ll}3 & y \\ x & 0\end{array}\right]\) \(A^{\prime}=A \implies \left[\begin{array}{ll}3 & y \\ x & 0\end{array}\right]=\left[\begin{array}{ll}3 & x \\ y & 0\end{array}\right]\) \(x=y\)
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