JEE PYQ: Matrices And Determinants Question 31
Question 31 - 2020 (02 Sep Shift 1)
Let $A$ be a $2 \times 2$ real matrix with entries from ${0, 1}$ and $|A| \neq 0$. Consider the following two statements:
(P) If $A \neq I_2$, then $|A| = -1$ (Q) If $|A| = 1$, then $\text{tr}(A) = 2$,
where $I_2$ denotes $2 \times 2$ identity matrix and $\text{tr}(A)$ denotes the sum of the diagonal entries of $A$. Then:
(1) (P) is false and (Q) is true
(2) Both (P) and (Q) are false
(3) (P) is true and (Q) is false
(4) Both (P) and (Q) are true
BETA
