Transcription of SYSTEMS OF LINEAR EQUATIONS AND 2 MATRICES
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SYSTEMS OF LINEAR EQUATIONS AND 2 MATRICES
Checkers Rent-A-Car is planning toexpand its fleet of cars next should they use their budget of $12 million to meet the expectedadditional demand for compact and full-size cars? In Example 5,page 133, we will see how we canfind the solution to this problem bysolving a system of LINEAR EQUATIONS in two variables studied inChapter 1 are readily extended to the case involving morethan two variables. For example, a LINEAR equation in threevariables represents a plane in three-dimensional space. In thischapter, we see how some real-world problems can beformulated in terms of SYSTEMS of LINEAR EQUATIONS , and we alsodevelop two methods for solving these addition, we see how MATRICES (rectangular arrays ofnumbers) can be used to write SYSTEMS of LINEAR EQUATIONS incompact form. We then go on to consider some real-lifeapplications of MATRICES .
68 2 SYSTEMS OF LINEAR EQUATIONS AND MATRICES Systems of Equations Recall that in Section 1.4 we had to solve two simultaneous linear equations in order to find the break-even pointand the equilibrium point.These are two examples of
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