Triangular matrices with the isoclinal property
Triangular matrices with the isoclinal property
Consider the system Vn ofnx n, lower triangular matrices over the real numbers with the usual operations of addition, multiplication and scalar multiplication and with the additional property that α;+i,y+i = <X;,i (isoclinal). It is shown that Vn is a commutative vector algebra. The principal theorem (§ 3) establishes the …