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Orthogonal Complements of complex and continuous function subspaces
So, for the first part, the orthogonal complement would just be all f(x) where by ∫f(x) = 0 over the given interval [a,b]? As for the second, I'm not quite sure what you mean. If I have those equations, and let x =[x_1, x_2, x_3, x_4] be my unknowns, I have: [x_1,x_2,x_3,x_4] = x_3[-i...- unquantified
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- Forum: Calculus and Beyond Homework Help
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Orthogonal Complements of complex and continuous function subspaces
Homework Statement I'm having a tough time figuring out just how to get the orthogonal complement of a space. The provlem gives two separate spaces: 1) span{(1,0,i,1),(0,1,1,-i)}, 2) All constant functions in V over the interval [a,b] Homework Equations I know that for a subspace W of an...- unquantified
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- Complex Continuous Function Orthogonal Subspaces
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- Forum: Calculus and Beyond Homework Help