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Fall 2016

Steven Bradlow

MATH 225

Lecture 1: System of Linear Equations Lecture 2: Row Reduction and Echelon Form Lecture 3: Vector Equation and Linear Combination Lecture 4: The Matrix Equation Ax = b Lecture 5: Solution sets of Linear Systems Lecture 6: Linear Independence Lecture 7: Applications Lecture 8: Matrix Operation

Systems of linear equations Matrices Echelon Form Matrix Row operations- Row reduction

Operations on vectors Properties of Vectors Free variables

Span Ax=b homogeneous equations