Answer to Question #79871 in Linear Algebra for Sonali

Question

Let P3 be the inner product space of polynomials of degree at most 3 over R with
respect to the inner product
hf,gi =
Z 1
0
f(x)g(x)dx.
Apply the Gram-Schmidt orthogonalisation process to find an orthonormal basis for
the subspace of P3 generated by the vectors (8)

1−2x,2x+6x
2
,−3x
2 +4x
3

.