SOLVED:An inner product defined on the vector space P2 of all polynomials of degree less than or equal to 2 , is given by (p, q)=∫-1^1 p(x) q(x) d x Use the Gram-Schmidt orthogonalization process to transform the given basis B for P2 into an orthogonal basis B^'. B={x^2-x, x^2 1,1-x^2}

b show that every inner product space is a normed space and every hilbert space is banach space and the converses of both the statements may not be true give examples 71607