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Matrices and Determinants question

2023 · 12 Apr · Shift 1 · Q24

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JEE Main
Mathematics
Matrices and Determinants
2023 · 12 Apr · Shift 1 · Q24

Matrices and Determinants question

2023 · 12 Apr · Shift 1 · Q24

JEE MainMathematicsMatrices and DeterminantsMCQ+4 / −1

Let

A=\left[\begin{array}{cc}1 & \frac{1}{51} \\ 0 & 1\end{array}\right]

. If

\mathrm{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_{n=1}^{50} B^{n}

is equal to

A
50
B
75
C
100
D
125

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