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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) $3$

Show Answer

Answer: (2)


Learning Progress: Step 13 of 89 in this series