30 pts- 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...Show moreLikes(0) Reply(1)Ghost.Note even in the example you posted, eigenkets of degenerated value are not linearly independent. that is they are not orthogonal.
- Chandra dhawanit's a property that same eigen value doesn't mean same eigen vector.....every eigen value corresponds to a saperate eigen vectorLikes(1) Reply(0)
- Chandra dhawanThe 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.Likes(1) Reply(0)
- Dhairya sharma Best Answerit's a property that same eigen value doesn't mean same eigen vector.....every eigen value corresponds to a saperate eigen vectorLikes(1) Reply(5)Dhairya sharmahere we have 2 arbitrary solution..... arbitrary solution = order - rank. here it's 2 so we got two different eigen vectors
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