例1.设线性空间P3的线性变换为o(xi,x2,x) =(xi,x2,xi +x2)求0在标准基81,8283下的矩阵解: : α(s)=(1,0,0)=(1,0,1)(ε2) = (0,1,0) = (0,1,1)(83) = α(0,0,1) = (0, 0,0)01:.. 0(81,62,63)=(81,62,63)11067.3线性变换的矩阵区区§7.3 线性变换的矩阵 例1. 设线性空间 P 3 的线性变换 为 1 2 3 1 2 1 2 ( , , ) ( , , ) x x x x x x x = + 求 在标准基 1 2 3 下的矩阵. , , 解: 3 ( ) (0,0,1) (0,0,0) = = 1 ( ) (1,0,0) (1,0,1) = = 2 ( ) (0,1,0) (0,1,1) = = 1 2 3 1 2 3 1 0 0 ( , , ) ( , , ) 0 1 0 1 1 0 =