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).
Whict one among the following is TRUE?
(a) S1 implies S2 (b) S2 implies S1
(c) S1 implies S3 (d) S3 implies S2
Note: Plz explain in detail why other options are incorrect.