where and are square matrices of the same size.
The trace of a linear transformation from any finite dimensional vector space to itself is defined to be the trace of any matrix representation of with respect to a basis of . This scalar is independent of the choice of basis of , and in fact is equal to the sum of the eigenvalues of (over a splitting field of the characteristic polynomial), including multiplicities.
The following link presents some examples for calculating the trace of a matrix.
|Date of creation||2013-03-22 12:17:57|
|Last modified on||2013-03-22 12:17:57|
|Last modified by||mhale (572)|