Mathematics · 2022
JEE Main · 29 June 2022, Shift 2 · Q3
Let A= (2, -1; 0, 2). If B=I-^5 C_1( adj A)+^5 C_2( adj A)^2-…-^5 C_5( adj A)^5, then the sum of all elements of the matrix B is
Let $\displaystyle A=\left(\begin{array}{cc}2 & -1 \\ 0 & 2\end{array}\right)$. If $\displaystyle B=I-{ }^5 C_1(\operatorname{adj} A)+{ }^5 C_2(\operatorname{adj} A)^2-\ldots-{ }^5 C_5(\operatorname{adj} A)^5$, then the sum of all elements of the matrix $\displaystyle B$ is
Official answer
(3)
$\displaystyle -7$
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JEE Main 2022 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.