160s10W1L3-gaussian

160s10W1L3-gaussian - Gaussian Elimination: three...

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Gaussian Elimination: three equations, three unknowns Use the Gauss-Jordan Elimination method to solve systems of linear equations. 1 Write corresponding augmented coefficient matrix 2 reduce to reduced row echelon form (rref), using three elementary row operations 3 from reduced matrix write the equivalent system of equations 4 solve for leading variables in terms of non-leading variables (if any) 5 set non-leading variables to any real number 6 write solution to system in matrix form. This is not part of G-J but is required for exam 1
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Gaussian Elimination: three equations,three unknowns equation of plane and graph - 10 - 9 - 8 - 7 - 6 x - 5 - 4 - 8 - 3 - 7 - 6 y - 5 - 2 - 6 - 4 - 5 - 4 - 3 - 1 - 3 - 2 - 2 - 1 - 1 0 0 1 1 2 2 1 3 3 4 4 5 2 6 5 7 6 8 3 7 9 10 8 11 9 4 12 13 14 5 6 7 8 9 10 Equations of form ax + by + cz = d graph as a plane in three dimensional space
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Gaussian Elimination: three equations, three unknowns case I: one solution x + 2y + z = 5 (1) 2x + y + 2z = 7 (2) x + 2y + 4z = 4 (3)
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This note was uploaded on 04/04/2010 for the course MATH 160 taught by Professor Doyle during the Spring '08 term at Ill. Chicago.

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160s10W1L3-gaussian - Gaussian Elimination: three...

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