JEE Mains · Maths · STD 12 - 3 and 4 . metrices and determinant
Let \(A=\left[\begin{array}{cc}1 & \frac{1}{51} \\ 0 & 1\end{array}\right]\). If \(B=\left[\begin{array}{cc}1 & 2 \\ -1 & -1\end{array}\right] A \left[\begin{array}{cc}-1 & -2 \\ 1 & 1\end{array}\right]\) then the sum of all the elements of the matrix \(\sum \limits_{n=1}^{50} B^n\) is equal to
- A \(100\)
- B \(50\)
- C \(75\)
- D \(125\)
Answer & Solution
Correct Answer
(A) \(100\)
Step-by-step Solution
Detailed explanation
Let \(C=\left[\begin{array}{cc}1 & 2 \\ -1 & -1\end{array}\right], D =\left[\begin{array}{cc}-1 & -2 \\ 1 & 1\end{array}\right]\)…
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