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

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

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