(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

The four functions v0 = 1; v1 = t; v2 = t^2; v3 = t^3 form a basis for the vector space of

polynomials of degree 3. Apply the Gram-Schmidt procedure to find an orthonormal basis with

respect to the inner product: < f ; g >= (1/2)[itex]\int[/itex]^{1}_{-1}f(t)g(t) dt

2. Relevant equations

u_{i}= v_{i}- [itex]\sum[/itex]^{i-1}_{j}<v_{i}, u_{j}>/||v_{j}||^{2}> *v_{j}

3. The attempt at a solution

I am not sure that the impact that given inner product integral gives to the question. I don`t even know how to approach this question as well, because I have typically been given vectors of the form (x_{1}, y_{1}, z_{1}) to use gram-schmidt orthonormalization with, not of the given form.

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# Gram-Schmidt procedure to find orthonormal basis

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