Research Space for Linear Algebra & Discrete Mathematics
s={A,D}: orthogonal set, 若 B 屬於 span(s), 令 B = xA + D, 則 x 就會是Fourier coefficient=> x = <B,A>/<A,A> = 5/55 = 1/11, 所以 C = xA = 1/11(1,2,3,4,5) =>D = B-C = B-xA = B-1/11(1,2,3,4,5) = 1/11(10,7/2,2/3,-5/4,-14/5)
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s={A,D}: orthogonal set, 若 B 屬於 span(s),
令 B = xA + D, 則 x 就會是Fourier coefficient
=> x = <B,A>/<A,A> = 5/55 = 1/11,
所以 C = xA = 1/11(1,2,3,4,5) =>
D = B-C = B-xA = B-1/11(1,2,3,4,5)
= 1/11(10,7/2,2/3,-5/4,-14/5)
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