As the title says I need to make sure I understand exactly what a normalized trace is. Everywhere I've looked, including here I find references to the trace of a normalized matrix, but I am not comfortable simply assuming a normalized trace = trace of normalized matrix.
Edit: I should have specified that the matrix in question is a square 3x3 matrix
Thanks in advance.
Apparently I just didn't spend quite enough time looking.
According to this book Clifford Algebras: An Introduction (by D. J. H. Garling) the normalized trace of a square matrix is just the trace of the matrix divided by the dimension of the matrix.
For a 3x3 matrix A the normalized trace would be the tr(A)/3.