Use GramSchmidt process to find an orthogonal basis for the

Use Gram-Schmidt process to find an orthogonal basis for the subspace of C degree [0, 1] spanned by the given functions: f1(x) = 1, f2(x) = x, f3(x) = x^2. It\'s Linear Algebra

Solution

Given:

f1(x)=1 and f2(x)=x, f3(x)=x².

    if we take in interval [0,1]

       for x=1 {1,1,1,}

       and for x=0 {1,0,0}

      then gram schmidt {{1,1,1},{1,0,0}} is

         

       

      and