- #1
catsarebad
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i'm kinda confused regarding summation so I'm hoping someone can help me figure this out and explain to me why it is the way it is
trace(AB*) = ? in summation form
* = adjoint = conjugate and transpose = transpose and conjugate
assume both matrices are square mx of same size n x n
trace = sum of diagonal entries
i'm got this after brute force
(summation of this entire thing) a_ij x conjugate of (b_ij)
i, j runs from 1 to n
but somehow I'm thinking it should be
(summation of this entire thing) a_ii x conjugate of (b_ii)
i runs from 1 to n
trace(AB*) = ? in summation form
* = adjoint = conjugate and transpose = transpose and conjugate
assume both matrices are square mx of same size n x n
trace = sum of diagonal entries
i'm got this after brute force
(summation of this entire thing) a_ij x conjugate of (b_ij)
i, j runs from 1 to n
but somehow I'm thinking it should be
(summation of this entire thing) a_ii x conjugate of (b_ii)
i runs from 1 to n