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rishavraj

  • one year ago

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??

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  1. anonymous
    • one year ago
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    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. rishavraj
    • one year ago
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    so its obvious tht if two eigen values r same then the two eigen vectors corresponding to those values will be same :)) thanks @akitav

  3. rishavraj
    • one year ago
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    @ganeshie8

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