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Notes: Represent Systems as a MatrixThere are several ways to solve systems. We have discussed some ways already. Next we will discuss three ways to solve systems using matrices. First, we need to understand the ways to represent the system as a matrix.Given, any system of equations such that a1x+b1y=c1a2x+b2y=c2Augmented MatrixMatrix EquationExample; write the systems as an augmented matrix and a matrix equation1) 4x+7y=464x-2y=282) 6x=-3y-249y=x+23Notes: Solving Systems Using Cramer’s RuleGiven, any system of equations such that a1x+b1y=c1a2x+b2y=c2Solving Using Cramer’s RuleExample; solve the systems using inverse matrices1) 4x+7y=464x-2y=282) 6x=-3y-249y=x+23Notes: Solving Systems Using Inverse MatrixGiven, any system of equations such that a1x+b1y=c1a2x+b2y=c2Solving Using Inverse MatrixExample; solve the systems using inverse matrices1) 4x+7y=464x-2y=282) 6x=-3y-249y=x+23Notes: Solving Systems Using Augmented MatrixGiven, any system of equations such that a1x+b1y=c1a2x+b2y=c2Solving Using Augmented MatricesExample; solve the systems using inverse matrices1) 4x+7y=464x-2y=282) 6x=-3y-249y=x+23 ................
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