4.3 Notes - 4.3 Gauss-Jordan Elimination Forms\/Formulas Reduced Form\/Reduced Row Echelon Form 1 All zero rows are at the bottom 2 The left-most nonzero

# 4.3 Notes - 4.3 Gauss-Jordan Elimination Forms/Formulas...

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4.3 Gauss-Jordan Elimination Forms//Formulas: Reduced Form//Reduced Row Echelon Form 1) All zero rows are at the bottom 2) The left-most nonzero element of a row is 1 3) All other elements in the column containing the left-most 1 are zeros 4) The left-most 1 in any row is to the right of the left-most 1 in the row above it. Procedures: Gauss-Jordan Elimination: The process of using row equivalent operations to reduce any matrix into reduced row echelon form. Examples: 1) Is this matrix in reduced form? If not, explain why and indicate the row operation(s) necessary to transform the matrix into reduced form. 2) Write the linear system corresponding to the following matrix and solve for the variables: . 3) Write the linear system corresponding to the following matrix and solve for the variables: . 4) Reduce the following matrix: .
5) Solve the following system using Gauss-Jordan elimination: 6) Solve the following system using Gauss-Jordan elimination:
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