JEE PYQ: Matrices And Determinants Question 13
Question 13 - 2021 (18 Mar Shift 1)
Let $A + 2B = \begin{bmatrix} 1 & 2 & 0 \ 6 & -3 & 3 \ -5 & 3 & 1 \end{bmatrix}$ and $2A - B = \begin{bmatrix} 2 & -1 & 5 \ 2 & -1 & 6 \ 0 & 1 & 2 \end{bmatrix}$. If $\text{Tr}(A)$ denotes the sum of all diagonal elements of the matrix $A$, then $\text{Tr}(A) - \text{Tr}(B)$ has value equal to
(1) $1$
(2) $2$
(3) $0$
(4) $3$