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Unformatted text preview: MAS 3105
Quiz 8
November 16, 2010 1) Use GramSchmidt 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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 Fall '10
 Dreibelbis

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