JEE Mains · Maths · STD 12 - 3 and 4 . metrices and determinant
Let \(\mathrm{S}=\left\{\mathrm{m} \in \mathbf{Z}: \mathrm{A}^{\mathrm{m}^2}+\mathrm{A}^{\mathrm{m}}=3 \mathrm{I}-\mathrm{A}^{-6}\right\}\), where \(\mathrm{A}=\left[\begin{array}{cc}2 & -1 \\ 1 & 0\end{array}\right]\). Then \(\mathrm{n}(\mathrm{S})\) is equal to ______.
- A 1
- B 2
- C 3
- D 4
Answer & Solution
Correct Answer
(B) 2
Step-by-step Solution
Detailed explanation
\(A=\left[\begin{array}{cc} 2 & -1 \\ 1 & 0 \end{array}\right]\) Now finding characteristic equation…
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