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 May 2nd, 2010, 11:44 PM #1 Senior Member   Joined: Nov 2009 Posts: 129 Thanks: 0 orthonogonal complement Let B be a basis for subspace W of an inner product space V, and let z in V. Prove that z in W? if and only if =0 for every v in B. => If z in W? then = 0 by definition of orthonogonal complement, W? = {z in V: = 0 for all v in W}
 May 3rd, 2010, 07:53 AM #2 Senior Member   Joined: May 2008 From: York, UK Posts: 1,300 Thanks: 0 Re: orthonogonal complement Just look at the definition of a basis, and you should be there.

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