求这题,下列线性空间的维数和一组基

问题描述:

求这题,下列线性空间的维数和一组基

(1) 1维 数1
(2) 2维 1和i
(3) 2维 (1,0),(0,1)
(4) 4维 (1,0),(0,1),(i,0),(0,i)
(5) n维 (1,0,...,0),(0,1,0,...0),...(0,0,...1)
(6) 2n维 (1,0,...,0),(0,1,0,...0),...(0,0,...1),(i,0,...,0),(0,i,0,...0),...(0,0,..i)