则 β+=(b,+c) 8， kβ=kb,)6i一于是(β+r)=(b,+c) α;=b;α;+c,α;--=α(β)+o(r)(kβ)=Z(kb,)α, =kb,α, = ko(β)-1：α为V的线性变换，又 6, =08, +... +08-1 +8; +08i+1 +...+08ni=1,2,.,n:. (8)=α,,87.3线性变换的矩阵§7.3 线性变换的矩阵 则 1 1 , ) n n i i i i i i i      b c k b = = ＋ ＝  （ ＋ ） = (k 于是 ( ) 1 1 1 n n n i i i i i i i i i i       b c b c = = = ＋ = = +    （ ＋ ） = +     ( ) ( ) ( ) ( ) 1 1 ) n n i i i i i i       k kb k b k = = = = =   (   为V的线性变换. 又 1 1 1 0 0 0 0 i i i i n       = + + + + + + − + ( ) , 1,2, , i i  = =    i n