Hey guys,

I have a couple of questions that i need answered

I have an exam coming up in a week and my prof. told me to answer a couple questions. I've worked out most of them but these three questions are really troubling me, if anyone can answer them and show me the steps I'd really appreciate it

1)Find an orthogonal basis for the subspace {[x,y,z] l 2x-y+z=0}

2) Use the Gram-Schmidt algorithm on the following set of vectors: {[1,1,-1,2],[0,1,-2,2],[2,2,-4,3]}

3)Given U=Span {[1,2,-3,-1],[3,-2,1,-4]} and x=[2,0,4,0] calculating the following:

a)ProjU(x)

b)ProjU(perpendicular sign) (x)