作者magiciano (magiciano)
看板Grad-ProbAsk
標題[理工] [工數]Gram-Schmit的題目 Zill p.345
時間Mon Jul 27 16:35:07 2009
Use the Gram-Schmidt orthogonalization process to transform
the given basis B for P2 into an orthogoanl basis B'
17.B={1,x,x^2}
這題我求出來是 {1,x,(x^2-1/3)}
但是解答是{1,x, (-1+3x^2)/2}
到這邊我就不懂了...
再來是到19題
construct an orthonormal basis B" from B' obtained in problem.17
這邊答案是{1/√2, 3x/√6, 5(3x^2-1)/2√10}
我用17題的B'去解，也解不出它的B"
最後是21題 let p(x)=9x^2-6x+5 be a vector in P2, Use Theorem7.5 and
indicated orthonormal basis B" to find the coordinates p(x)
relative to B". Then write p(x) as a linear combination of the basis
vectors
拜託大家幫幫忙了!!
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1F：推 SONGya168:格式請修正 07/27 18:16