rishavraj (rishavraj):

hey wht if two out of three eigen values corresponding to a given matrix A are same. Can we directly conclude tht the eigen vectors aint diagonalisable??

2 years ago
OpenStudy (anonymous):

Diagonalizability can fail only if there are repeated eigenvalues. However, matrices with repeated eigenvalues may still be diagonalizable ( ex: identity matrix, situations when we have a p dimensional eigenspace corresponding to an eigenvalue with multiplicity p)

2 years ago
rishavraj (rishavraj):

so its obvious tht if two eigen values r same then the two eigen vectors corresponding to those values will be same :)) thanks @akitav

2 years ago
rishavraj (rishavraj):

@ganeshie8

2 years ago