engineering recuitment GATE IN Test Series 2023-24 Mock Test Engineering Mathematics Linear Algebra Eigenvalues
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?1
S1 implies S2
2
S1 implies S3
3
S2 implies S1
4
S3 implies S2