1. Let V = C[-2, 2], the vector space of continuous functions on the closed interval [-2, 2). Let f, g € V and define the inner product of f and g to be (f, g) = | f(x)g(x) dx. Let h(x) = x² and let k(x) = 7x*, compute (h, k). Simplify your answer completely.

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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.