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Mathematics · 2021

JEE Main · 18 March 2021, Shift 1 · Q63

Let A+2 B= [1, 2, 0; 6, -3, 3; -5, 3, 1] and 2 A-B= [2, -1, 5; 2, -1, 6; 0, 1, 2]. If Tr (A) denotes the sum of all diagonal elements of the matrix…

Let $\displaystyle A+2 B=\left[\begin{array}{rrr}1 & 2 & 0 \\ 6 & -3 & 3 \\ -5 & 3 & 1\end{array}\right]$ and $\displaystyle 2 A-B=\left[\begin{array}{rrr}2 & -1 & 5 \\ 2 & -1 & 6 \\ 0 & 1 & 2\end{array}\right]$. If $\displaystyle \operatorname{Tr}(A)$ denotes the sum of all diagonal elements of the matrix A, then $\displaystyle \operatorname{Tr}(\mathrm{A})-\operatorname{Tr}(\mathrm{B})$ has value equal to :
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JEE Main 2021 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.