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Snehasish ghosh Asked a Question
June 25, 2020 11:16 ampts 30 pts
Why the two eigen vectors are different for the same eigen value.Please explain
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  • Ghost.
    First you need to understand that matrices are opertor and when matrices operate on any vector(coloumn matrices), it can do following operation. 1) Rotate coloumn Matrix in complex...
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    Ghost.
    Note even in the example you posted, eigenkets of degenerated value are not linearly independent. that is they are not orthogonal.
  • Chandra dhawan thankyou
    it's a property that same eigen value doesn't mean same eigen vector.....every eigen value corresponds to a saperate eigen vector
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  • Chandra dhawan thankyou
    The eigenvector for a given eigenvalue is not always unique. This is not always so, however, so when several eigenvectors have the same eigenvalue is is called a degenerate state.
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  • Dhairya sharma Best Answer
    it's a property that same eigen value doesn't mean same eigen vector.....every eigen value corresponds to a saperate eigen vector
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    Dhairya sharma
    here we have 2 arbitrary solution..... arbitrary solution = order - rank. here it's 2 so we got two different eigen vectors
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