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## Main Question or Discussion Point

Let

I know that

*R = Mn(F)*be the ring consists of all n*n matrices over a field*F*and*E = E11 + E22 + ... + En-1,n-1*, where*Eii*is the elementary matrix (*Eij*is matrix whose ij th element is 1 and the others are 0) .I know that

*RE*is a maximal left ideal . Let*Q*be an invertible matrix . Can we say that*REQ*is a maximal left ideal ?