I have the set(adsbygoogle = window.adsbygoogle || []).push({});

[tex]

s = span ( [[0][1][-1][1]]^{T} )

[/tex]

And I need to find the orthogonal complement of the set.

It seems like it should be straight foward, but I'm a bit confused. I know that S is a subspace of R^4, and that there should be three free vairables.

What I did so far is to take the column vector given, and I need to find the null space of its transpose. The three free variables I picked are [tex]x_1= s, x_2=t, x_3=w, x_4=t-w[/tex].

However, x_1=s is throwing me off because its always zero. I guess what I'm really asking is, what exactly is the solution space of the homogenous system,

[tex]

Ax=0

[/tex]

in this problem?

Thanks

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# Homework Help: Orthogonal complement question

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