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Section 2: Solving Equations
Section 2: Solving Equations

... If you use the technique of Example 5 repeatedly, there comes a point when you tire of showing the addition or subtraction of the same amount on both sides of your equation. Here is a tool, which, if carefully used, will greatly simplify your work. 2 Useful Shortcut. When you move a term from one si ...
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... Let V = R2, the set of all ordered pairs of real number, with the standard addition and the following nonstandard definition of scalar multiplication: c(x1, x2) = (cx1, 0). Show that V is not a vector space. pf: This example satisfies the first nine axioms of the definition of a vector space. For ex ...
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