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This picture helps visualize a matrix beeter

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This shows an example of how to solve a 2x3 matrix

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This is a video explaining how to solve a 2x3 matrix

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System of Equations - Reducing a 2 x 3 Matrix using Gauss Jordan Method

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In this video we do another example of row reducing using the Gauss Jordan Method to solve a system of equations.

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Row Reduction: Write your two equations into matrix form by putting the x values first then the y values. After your matrix is written out, simplify your matrix so the values read 1, 0, x value on the first row then 0, 1, y value on the second row. You can simplify these by multiplying one of your rows, subtracting your two rows, etc.
Profit Line: Graph the system of inequalities give. Shade the feeble region and test the corner point to see which one will give you the most/least amount of money.

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An area defined by a set of coordinates that satisfies a system of inequalities

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Simplifying a matrix in order to solve a system of equations

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a rectangular array of numbers organized in columns and rows