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

GATE Β· 2019 Β· CS Β· Computer Science & IT

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?

  1. A.

    I implies II; II does not imply I.

  2. B.

    II implies I; I does not imply II.

  3. C.

    I does not imply II; II does not imply I.

  4. D.

    I and II are equivalent statements.

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