CUET · MATHS · PYQ PAPER 2025
If \(A=\left[\begin{array}{cc}1 & 0 \\ 0 & -1\end{array}\right]\)and \(B=\left[\begin{array}{ll}0 & 2 \\ 2 & 0\end{array}\right]\) ,then the matrix AB is equal to
- A \(\left[\begin{array}{cc}0 & -2 \\ 2 & 0\end{array}\right]\)
- B \(\left[\begin{array}{ll}0 & 0 \\ 0 & 0\end{array}\right]\)
- C \(\left[\begin{array}{cc}0 & 2 \\ -2 & 0\end{array}\right]\)
- D \(\left[\begin{array}{cc}2 & -2 \\ -2 & 2\end{array}\right]\)
Answer & Solution
Correct Answer
(C) \(\left[\begin{array}{cc}0 & 2 \\ -2 & 0\end{array}\right]\)
Step-by-step Solution
Detailed explanation
AB = \left[\begin{array}{cc}1 & 0 \\ 0 & -1\end{array}\right] \left[\begin{array}{ll}0 & 2 \\ 2 & 0\end{array}\right] = \left[\begin{array}{cc}(1)(0)+(0)(2) & (1)(2)+(0)(0) \\ (0)(0)+(-1)(2) & (0)(2)+(-1)(0)\end{array}\right] = \left[\begin{array}{cc}0 & 2 \\ -2 &…
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