1.) Find a basis for the subspace S in R4 spanned by all solutions of x1+x2+x3-x4=0
2.) Find a basis for the orthogonal complement of S
3.) Find b1 in S and b2 in the orthogonal complement of S so that b1+b2 = b = (1,1,1,1)
Please help!!
1.) Find a basis for the subspace S in R4 spanned by all solutions of x1+x2+x3-x4=0
2.) Find a basis for the orthogonal complement of S
3.) Find b1 in S and b2 in the orthogonal complement of S so that b1+b2 = b = (1,1,1,1)
Please help!!