Hello,
1/ Let and , with
The trace is , not !
The matrix product is defined as being
The same way,
So, are they the same ?
2/ if
Does that change the trace ?
3/ where
therefore...
If A = [aij] is an n x n matrix then the trace of A, Tr(A) is defined as the sum of all elements on the main diagonal A, Tr(A) = n SUM i = 1 aij. Prove
Tr(AB) = Tr(BA)
Tr(AT) = Tr(A)
Tr(ATA) > 0
I've got some ideas down about this but I'm just not totally sure how to prove these. Thanks!