let p(x) = a0+a1x+a2x2 and  q(x) = b0+b1x+b2x2 be vectors in P2 with inner product = a0b0+a1b1+a2b2 Consider the polynomials in the set {−1+x2,2+x+x2} 1)Show that the polynomials in the set do not form an orthonormal set. 2)Use the Gram-Schmidt orthonormalization process to form an orthonormal set from these polynomials. Keep the order, and show work for the orthogonalization, then normalization. 3)Do the polynomials in the orthonormal set (from question 2) form a basis for P2 ? Why or why not?   i mainly need the answer for 3 but if u can please answer the other 2. also please make it clear what part ur answering

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Linear Algebra

In mathematics, problems can be solved by the arithmetic operators like addition, subtraction, multiplication, and division. In algebra, we represent the numbers by any letter called a variable. If these variables are of degree 1, then it is studied under linear algebra. The first-degree equations involving algebraic expressions are called linear equations. That is, if you represent it by drawing a graph you will get a straight line.