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Gauss-Jordan elimination

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Describe viia flow chart the step-by-step approach of Gauss-Jordan elimination.

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Attached is a flow chart and step-by-step example of a simple, basic approach to Gauss-Jordan elimination. This is for the student who is new to Gauss-Jordan elimination and either has or can easily ...

Solution Summary

Attached is a flow chart and step-by-step example of a simple, basic approach to Gauss-Jordan elimination. This is for the student who is new to Gauss-Jordan elimination and either has or can easily set up the augmented matrix. (In the augmented matrix the columns other than the final column make up the coefficient matrix.) The student that find making the choice of elementary row operations will find this simple guide, which avoids any row interchanges, as a methodical and reliable approach to solve any system of equations in an augmented matrix, or determine if no unique solution exists. It is assumed the student is familiar with the matrix terms entry, row, column, elementary row operation, augmented matrix, and coefficient matrix but just gets a little confused or lost during the process.

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Gauss-Jordan elimination word problem

A particular diet calls for exactly 1000 units of vitamin A, exactly 1600 units of vitamin C, and exactly 2400 units of vitamin E. An individual is fed a mixture of three foods. Each gram of food 1 contains 2 units of vitamin A, 3 units of vitamin C, and 5 units of vitamin E. Each gram of food 2 contains 4 units of vitamin A, 7 units of vitamin C, and 9 units of vitamin E. Each gram of food 3 contains 6 units of vitamin A, 10 units of vitamin C, and 14 units of vitamin E. How many grams of each food should the individual be fed to satisfy the diet requirements?

Identify the variables and determine the system of equations. Use the Gauss-Jordan elimination method and solve the system of equations

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