MathDB
2014 HMIC #5

Source:

December 26, 2016

Problem Statement

Let nn be a positive integer, and let AA and BB be n×nn\times n matrices with complex entries such that A2=B2A^2=B^2. Show that there exists an n×nn\times n invertible matrix SS with complex entries that satisfies S(AB−BA)=(BA−AB)SS(AB-BA)=(BA-AB)S.
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