🛠️ JEE➗ Maths

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

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 \( \operatorname{tr}(\mathrm{A}) \) denotes the sum of all diagonal elements of the matrix \( A \), then \( \operatorname{tr}(\mathrm{A})-\operatorname{tr}(\mathrm{B}) \) has value equal to:

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

a

\(1\)

b

\(2\)

c

\(0\)

d

\(3\)

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