For a long time, the walls in my apartment have been empty. So empty that looking at them was like staring into the void and having the void stare right back at you. My girlfriend and I recently solved this situation by making a custom piece of art! Concretely, we painted a picture of the…
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What is the trace?
Any student of mathematics learns that the determinant of a matrix can be interpreted as the amount that the matrix distorts signed volume. The trace is another linear algebraic invariant but its interpretations are not common knowledge. This is somewhat troubling since the trace, being such a basic invariant, occurs in many proofs across mathematics….