MathDB
AXB = BXA if AXB + A + B = 0 for matrices

Source: 15th -b QEDMO problem 2 (19. - 22. 10. 2017) https://artofproblemsolving.com/community/c1512515_qedmo_2005

May 30, 2021
matrixalgebra

Problem Statement

Let A,B,XA, B, X be real n×nn\times n matrices for which AXB+A+B=0AXB + A + B = 0 holds. Prove that AXB=BXAAXB = BXA.
Back to ProblemsView on AoPS