JEE Main 2020 (2 Sep, Shift 1) Maths Q54: Matrices

Question

Let $A$ be a $2	imes2$ real matrix with entries from $\{0, 1\}$ and $|A|
eq0$. Consider the following two statements :
(P) If $A
eq I_2$, then $|A|=-1$
(Q) If $|A|=1$, then $\mathrm{tr}(A)=2$,
where $I_2$ denotes $2	imes2$ identity matrix and $\mathrm{tr}(A)$ denotes the sum of the diagonal entries of $A$. Then :

Accepted Answer

Option 2: (P) is false and (Q) is true

Answer

(P) is true and (Q) is false

Answer

(P) is false and (Q) is true

Answer

Both (P) and (Q) are false

Answer

Both (P) and (Q) are true

JEE Main 2 September 2020, Shift 1, Maths Q54