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For questions involving the trace of a square matrix, i.e. the sum of the elements on the main diagonal.

4 votes

Geometric interpretation of trace

The trace of a linear map $A : V \to V$ is always the same as the trace of its restriction to the unique largest vector subspace $W$ of $V$ such that $A\big\vert_W : W \to W$ is an isomorphism. By usi …