Let p(x) = a, + a,x+ a,x' + a,x' and q(x) = 6, + ,x+5,x + b,x' be vectors in P, with the standard inner product space on P, defined by %3D < p(x).q(x) >= a,b, + a,b, + a,b, + a,b;. a) Find the distance between fand g f- g. angle of f(x) and h(x) b) Use the Gram-Schmidt process to form an orthogonal set for the functions f(x) = 1-x- x + 2x', g(x) =-2+ 2x - x' and h(x) = x - x + 2x

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A: Thanks for the question :)And your upvote will be really appreciable ;)

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A: According to our guidelines we can do only one question if multiple question are posted. Please post…

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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.