class 12

Math

Algebra

Matrices

Let A be a $2×2$ matrix with non-zero entries and let $A_{2}=I$, where I is $2×2$identity matrix. Define Tr(A) = sum of diagonal elements of A and |A| = determinant of matrix A.Statement-1: $Tr(A)=0$Statement-2: $∣A∣=1$

- Statement-1 is true, Statement-2 is true; Statement-2 is not the correct explanation for Statement-1
- Statement-1 is true, Statement-2 is false
- Statement-1 is false, Statement-2 is true
- Statement-1 is true, Statement-2 is true; Statement-2 is the correct explanation for Statement-1