CUET · MATHS · PYQ PAPER 2025
If the matrix \(A =\left(\begin{array}{ll}1 & 3 \\ 2 & 1\end{array}\right)\), then the value of \(\operatorname{det}\left( A ^2-2 A \right)\) is equal to
- A 5
- B \(-5\)
- C 25
- D \(-25\)
Answer & Solution
Correct Answer
(C) 25
Step-by-step Solution
Detailed explanation
\(\operatorname{det}(A) = 1(1) - 3(2) = -5\) \(A - 2I = \left(\begin{array}{ll}1 & 3 \\ 2 & 1\end{array}\right) - \left(\begin{array}{ll}2 & 0 \\ 0 & 2\end{array}\right) = \left(\begin{array}{rr}-1 & 3 \\ 2 & -1\end{array}\right)\)…
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