since need to show direct sum that I have to show v= M+NSuppose x1,...., xn (where n>= 2) is a basis of a vector space V. Choose r in {1,....,n-1} and define
M= Span{x1,...,xr},
N= Span{xr+1,....xn}
show that V = M (direct sum) N
and the intersection of M, N is {0}.
But I don't know how to show that the intersection of M, N is {0}.
Plx help