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Engineering Maths · Q118

Linear Algebra

Engineering and GATE · Engineering Maths · question 118

Q118

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?

A.
I implies II; II does not imply I
B.
II implies I; I does not imply II
C.
I and II are equivalent statements
Answer
D.
I does not imply II; II does not imply I

Answer: Option C

Solution

Answer: Option C
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