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Engineering Maths · Q177

Linear Algebra

Engineering and GATE · Engineering Maths · question 177

Q177

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
Answer
D.
S3 implies S2

Answer: Option C

Solution

Answer: Option C
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