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Linear AlgebraSuperchallengeVector Spaces & Bases

Vector Spaces & Bases · Superchallenge problem

In the vector space M5(R)M_5(\mathbb{R}) of all real 5×55\times 5 matrices, let WW be the span of all commutators AB−BAAB - BA with A,B∈M5(R)A, B\in M_5(\mathbb{R}). What is dim⁡W\dim W?