JEE Mains · Maths · STD 12 - 3 and 4 . metrices and determinant
Let \(A=\left(\begin{array}{ccc}1 & 0 & 0 \\ 0 & 4 & -1 \\ 0 & 12 & -3\end{array}\right)\). Then the sum of the diagonal elements of the matrix \(( A + I )^{11}\) is equal to:
- A \(3144\)
- B \(4094\)
- C \(4097\)
- D \(2050\)
Answer & Solution
Correct Answer
(C) \(4097\)
Step-by-step Solution
Detailed explanation
\(A^2=\left[\begin{array}{ccc}1 & 0 & 0 \\ 0 & 4 & -1 \\ 0 & 12 & -3\end{array}\right]\left[\begin{array}{ccc}1 & 0 & 0 \\ 0 & 4 & -1 \\ 0 & 12 & -3\end{array}\right] =\left[\begin{array}{ccc}1 & 0 & 0 \\ 0 & 4 & -1 \\ 0 & 12 & -3\end{array}\right]= A\)…
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