Q. 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

Ans: S2 implies S1