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!!

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- November 13th 2008, 09:45 AMsvalikLinear Algebra: orthogonal complement question
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!!