Let M be a real 4 4 matrix Consider the following...

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

A. S1 implies S2

B. S1 implies S3

C. S2 implies S1

D. S3 implies S2

Answer: Option C

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