Let A = 1 2 0 1 and B = I + adj(A) + (adj(A))² +... + (adj(A))¹⁰.… | JEE Main 2024 Mathematics PYQ

MCQMediumJEE Main 2024 · 4 April, Shift 2Inverse & Adjoint of a Matrix

Let $A = \begin{bmatrix}1 & 2 \\ 0 & 1\end{bmatrix}$ and $B = I + \operatorname{adj}(A) + (\operatorname{adj}(A))^2 + ... + (\operatorname{adj}(A))^{10}$ . The sum of all elements in $B$ is:

A
$-110$
B
$22$
C
$-88$
D
$-124$

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