Question

Let W = {(x, y, z, w) ∈ R 4 | x − z = 0...

Let W = {(x, y, z, w) ∈ R 4 | x − z = 0 and y + 2z = 0}

(a) Find a basis for W.

(b) Apply the Gram-Schmidt algorithm to find an orthogonal basis for the subspace (2) U = Span{(1, 0, 1, 0),(1, 1, 0, 0),(0, 1, 0, 1)}.

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