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242LN1.1 - 1.1 Introduction to Linear Systems Algebra deals...

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Unformatted text preview: 1.1. Introduction to Linear Systems Algebra deals mainly with equations of one variable. At the end of MAT 117 (or whatever class you took), you learned how to solve equations with more than one variable in them, such as: x + 3 y =- 5 4 x- 2 y = 8 How? The key to solving these equations is elimination , where we multiply (both sides of) one equation by a number, (both sides of) the other equation by a number, and add the two new equations:- 4 × ( x + 3 y =- 5) 1 × (4 x- 2 y = 8) The key to solving these equations is elimination , where we multiply (both sides of) one equation by a number, (both sides of) the other equation by a number, and add the two new equations:- 4 x- 12 y = 20 4 x- 2 y = 8 The key to solving these equations is elimination , where we multiply (both sides of) one equation by a number, (both sides of) the other equation by a number, and add the two new equations:- 4 x- 12 y = 20 4 x- 2 y = 8- 14 y = 28 The key to solving these equations is elimination , where we multiply (both sides of) one equation by...
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