- #1
shakgoku
- 29
- 1
Can a symmetric matrix contain complex elements(terms).
If no, how is it that 'eigen values of a symmetric matrix are always real'(from a theorem)
Is a symmetric matrix containing complex terms called a hermitian matrix or is there any difference?
Can we call the following matrix symmetric (A = transpose of A), even though its not hermitian. (A not equal to A dagger)
i i
i 2i
But its eigen values are not real contradicting the above theorem.
If no, how is it that 'eigen values of a symmetric matrix are always real'(from a theorem)
Is a symmetric matrix containing complex terms called a hermitian matrix or is there any difference?
Can we call the following matrix symmetric (A = transpose of A), even though its not hermitian. (A not equal to A dagger)
i i
i 2i
But its eigen values are not real contradicting the above theorem.