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Algebra 60 - Parametric Equations with Gauss-Jordan Elimination
This chapter introduces the concept of “pivot columns” and shows how they can be used to determine whether a system of linear equations has a single unique solution, no solutions, or infinitely many solutions, simply by looking at the...
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Algebra 62 - Gauss-Jordan Elimination with Traffic Flow
In this lecture we examine one application that can be solved by a system of linear equations with four or more variables, modeling and predicting the flow of traffic through a network of streets. Examples are given showing how the model...
Why U
Algebra 63 - Gauss-Jordan Elimination with Curve Fitting
This lecture examines a useful mathematical application that can be solved by using a system of linear equations with four or more variables - finding a polynomial function whose graph passes through a given set of data points. We see...
Zach Star
Dear linear algebra students, This is what matrices (and matrix manipulation) really look like
Dear linear algebra students, This is what matrices (and matrix manipulation) really look like
Khan Academy
Khan Academy: Linear Algebra: Reduced Row Echelon Form 3
Video shows another example of using matrices and reduced row echelon form to simplify a system of 3 equations in 4 variables. Explains how to determine how many solutions the system will have by looking at the reduced row echelon form....
Khan Academy
Khan Academy: Linear Algebra: Reduced Row Echelon Form 1
Video shows how to use matrices and reduced row echelon form to simplify a system of 3 equations in 4 variables. Shows how the system relates to vectors to help visualize what the solution represents. This video also appears in the...