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Unformatted text preview: Notes 4: Defintion of Function, Matrix Multiplication Definition 1. A function consists of two sets, the doman and the target, and a rule which assigns to every element in the domain an element of the target. Sometimes we use the word range instead of target. Example 1 . We define a function that we call f . Let our domain be R , let the target be R , and let our rule asosciate to x ∈ R the number x 2 . We can write this as f : R→ R f : x 7→ x 2 . Example 2 . Define a function called name that associates to each person in the class their name. Here the domain is the set of people in the class and the target is the set of strings of letters. We can write the idea of solving an equation using the concept of function. Example 3 . Let f : R→ R be given by x 7→ x 2 + 3 . Solving the equation x 2 + 3 = 7 means find an x ∈ R so that when we apply the function f to it, we get out 7....
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 Fall '08
 MARKMAN
 Linear Algebra, Algebra, Multiplication, Sets, Ring, ax, Column vector

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