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complexification of vector space

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... To solve an equation in the form ax  b  c , two operations must be “undone” - an addition (or subtraction) and a multiplication (or division). The goal in solving an equation is to isolate the variable: Variable = Constant. Steps to solve equations in the form ax  b  c 1. Undo additions and subt ...
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Sec1.3 - Gordon State College

... solution. To remedy this situation, we define a new number that solves this equation, called the imaginary unit, which is not a real number. The solution to x2 = - 1 is the imaginary unit I where i2 = - 1, or i  1 ...
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