Invertible Matrix & Non-Zero Determinant Equivalence

Computer Sciences > Gate 2019 > Square Matrix

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

I. X is invertible
II. Determinant of X is non-zero

Which one of the following is TRUE?

I implies II; II does not imply I

II implies I; I does not imply II

I does not imply II; II does not imply I

I and II are equivalent statements

Correct : d

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