CUET · MATHS · PYQ PAPER 2023
If \(A=\left[\begin{array}{cc}3 & 1 \\ -1 & 2\end{array}\right]\), then \(A^2-5 A+7 I=\)
- A O
- B I
- C 2I
- D 3I
Answer & Solution
Correct Answer
(A) O
Step-by-step Solution
Detailed explanation
\(A^2 = \left[\begin{array}{cc}3 & 1 \\ -1 & 2\end{array}\right]\left[\begin{array}{cc}3 & 1 \\ -1 & 2\end{array}\right] = \left[\begin{array}{cc}3(3)+1(-1) & 3(1)+1(2) \\ -1(3)+2(-1) & -1(1)+2(2)\end{array}\right] = \left[\begin{array}{cc}8 & 5 \\ -5 & 3\end{array}\right]\)…
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