Use the inner product < f,g>= -=[ f f(x)g(x)dx in the vector space C [0, 1]...

 

Transcribed Image Text:

Use the inner product < f,g>= -=[₁² f f(x)g(x)dx in the vector space Cº [0, 1] to find the orthogonal projection of f(x) = 6x² projv(f) = 1 onto the subspace V spanned by g(x) = x and h(x) = 1. Use the inner product < f,g>= -=[₁² f f(x)g(x)dx in the vector space Cº [0, 1] to find the orthogonal projection of f(x) = 6x² projv(f) = 1 onto the subspace V spanned by g(x) = x and h(x) = 1.