Question

线性代数,为什么n个n维单位坐标向量组线性无关?

Answer 1

k1(1,0,.0) + k2(0,1,0,0,...,0)+.+kn(0,0,.,1) =(0,0,.,0)

(k1,k2,...,kn)=(0,0,.,0)

=> k1=k2=...=kn=0

=>n个n维单位坐标向量组线性无关