quiz8 - MAS 3105 Quiz 8 November 16, 2010 1) Use...

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Unformatted text preview: MAS 3105 Quiz 8 November 16, 2010 1) Use Gram-Schmidt to find an orthogonal basis for the subspace spanned by B . 0 1 1 1 , 0 , 0 B= 0 0 1 1 1 1 2) Determine a basis for B ⊥ (using B from problem 1). 0 1 3) Let W be the subspace spanned by B (still from problem 1), and let u = . Decom0 0 ⊥ pose u into w and z, where w ∈ W and z ∈ W . 4) Let A be an n × n matrix. Assume that v is in both Col A and Null AT . Prove that v = 0. ...
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