Product Spaces

h2oskidude

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Apr 13, 2012
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P5 is an innerproduct space with an inner product. We applied the Gram Schmidt process tot he basis {1,x,x^2,x^3,x^4} and obtained the following as the result {f1,f2,f3,f4,x^4+2}.
a. What is the orthogonal complement of P3 in P5 with erspect to this inner product?
b. What is the length of 2f1 + f3 -f4?


Do we reverse the Gram Schmidt process somehow? I'm not even sure that its possible
 
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