Let M be a real 4×4 matrix. Consider the following statements: S1: M has 4…
GATE · 2018 · EC · Electronics and Communication Engineering
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
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