A 4 b j = [ b l , . . . , A dl-'bl; . . . ; b j , . . . , AL4-Ibi; ...;bm;..,A4r.-'b,] ~[ u l j ( l ) ,~~~, u l i (~l ) ; u~(~) ,~~~,~~(~) ;~~~;~m , ( l ) ,~~~,~~~( d m~]~.As A 4bj is linearly dependent on A 4 -6, and the vectors preceding it in(2), it is evident that in (6) u,(r)=O, i , j = l , -. . , m , i > j , r = l ; --, d j .The remaining u,(r)'s are nonzero, in general. The same computation shows that the elements in columns other than kith, j = 1,. . ,m are either zero or 1 giving finally the canonical form of A as shown in (3aH3c). For B one has to compute B = P -'B which is straightforward and gives (3d). The above procedure can be extended in case one or some