L4-160s10W2L1-matrices

L4-160s10W2L1-matrices - Matrices Gauss-Jordan Elimination,...

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Matrices Gauss-Jordan Elimination, review 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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Matrices Gauss-Jordan Elimination, review example x + 2y + z = 3 (1) z = 1 (2) Gauss-Jordan Elimination ± 1 2 1 3 0 0 1 1 ² R 1 R 1 + ( - 1) · R 2 -- ± 1 2 0 2 0 0 1 1 ² rref
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Gauss-Jordan Elimination Case III write solutions Equivalent system: x + 2y = 2 (3) z = 1 (4) System reduces to two equations in three unknowns. Leading variables are x and z . y is a non-leading variable. Gauss-Jordan
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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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L4-160s10W2L1-matrices - Matrices Gauss-Jordan Elimination,...

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