Let M be a real matrix. Consider the following st

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M: +1.00/-0.33

Let M be a real  matrix. Consider the following statements:
S1:  has 4 linearly independent eigenvectors.
S2:  has 4 distinct eigenvalues.
S3:  is non-singular (invertible).
Which one among the following is TRUE?

[GATE EC 2018]

A S1 implies S2

B S1 implies S3

C S2 implies S1

D S3 implies S2