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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...
Khan Academy
Khan Academy: Linear Algebra: Showing That a Transpose X a Is Invertible
A video lesson proving that the product of a matrix and its transpose is invertible if all of the columns of the originial matrix are linearly independent. [12:34]
Khan Academy
Khan Academy: Showing Relation Between Basis Cols and Pivot Cols
This video shows that linear independence of pivot columns implies linear independence of the corresponding columns in the original equation.