what is a trace of a matrix?how do we calculate it??.Is it in d prescribed course????

Asked by  | 17th Jun, 2008, 01:42: PM

Expert Answer:

n linear algebra, the trace of an n-by-n square matrix A is defined to be the sum of the elements on the main diagonal (the diagonal from the upper left to the lower right) of A, i.e.,

where aij represents the entry on the ith row and ith column of A. Equivalently, the trace of a matrix is the sum of its eigenvalues, making it an invariant with respect to chosen basis.

The use of the term trace arises from the German term Spur (cognate with the English spoor), which, as a function in mathematics, is often abbreviated to "Sp".


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Answered by  | 17th Jun, 2008, 11:14: PM

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