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Let ๐‘‹ be a square matrix. Consider the following two statements on ๐‘‹.

Let ๐‘‹ be a square matrix. Consider the following two statements on ๐‘‹.

Q. Let ๐‘‹ be a square matrix. Consider the following two statements on ๐‘‹.

  1. ๐‘‹ is invertible.
  2. Determinant of ๐‘‹ 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:ย I and II are equivalent statements

Solution:

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