MathematicsEasy244×since 2002Q4509If A and B are two non-zero n ×\times× n matrices such that A2+B=A2B\mathrm{A^2+B=A^2B}A2+B=A2B, then :AA2B=I\mathrm{A^2B=I}A2B=IBA2=I\mathrm{A^2=I}A2=I or B=I\mathrm{B=I}B=ICA2B=BA2\mathrm{A^2B=BA^2}A2B=BA2DAB=I\mathrm{AB=I}AB=ICheck answerSkip