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Let \(A+2 B=\left[\begin{array}{ccc}1 & 2 & 0 \\ 6 & -3 & 3 \\ -5 & 3 & 1\end{array}\right]\) an…

Q1

Let \(A+2 B=\left[\begin{array}{ccc}1 & 2 & 0 \\ 6 & -3 & 3 \\ -5 & 3 & 1\end{array}\right]\) and \(2 A-B=\left[\begin{array}{ccc}2 & -1 & 5 \\ 2 & -1 & 6 \\ 0 & 1 & 2\end{array}\right]\)
If \(\operatorname{Tr}(A)\) denotes the sum of all diagonal elements of the matrix \(A\), then \(\operatorname{Tr}(A)-\operatorname{Tr}(B)\) has value equal to:

[JEE Main 2021, 18 Mar (Shift 1)]

a

1

b

2

c

0

d

3

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