Let 𝑋 be a square matrix. Consider the following two statements on 𝑋.

Q. Let 𝑋 be a square matrix. Consider the following two statements on 𝑋.

1. 𝑋 is invertible.
2. Determinant of 𝑋 is non-zero.

Which one of the following is TRUE?

(A) I implies II; II does not imply I.

(B) II implies I; I does not imply II.

(C) I does not imply II; II does not imply I.

(D) I and II are equivalent statements.

Ans: I and II are equivalent statements

Solution: