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Q#1 Linear Algebra GATE EC 2018 MCQ +1 mark -0.33 marks

Let M be a real matrix. Consider the following statements:

S1: M has 4 linearly independent eigenvectors.

S2: M has 4 distinct Eigen-values.

S3: M is non-singular (invertible). Which one among the following is TRUE?

S1 implies S2

S1 implies S3

D2 implies S1

S3 implies S2

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