EC > GATE 2018 > Linear Algebra
Let M be a real 4x4 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

Correct : c

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linear algebra EC GATE 2018 eigenvalues and eigenvectors matrix linearly independent matrix distinct eigenvalues matrix invertible GATE electrical GATE 2018 EC matrix properties eigenvalues matrix

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