Channel: MyWhyU

Category: Education

Tags: why urow reductionelementary row operationmathematicslinear equationsimultaneous equationsalgebrasystem of linear equationsreduced row echelon formmatrixaugmented matrixinfinitely many solutionsno solutionspolynomialgauss-jordan eliminationsingle unique solutionwhyuprofessor von schmohawkcurve fittingmathmatricesinconsistent systemsystem of equations

Description: 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 how in some cases, the system can have a single unique solution corresponding to a single unique function which includes the points, infinitely many solutions which correspond to infinitely many functions which include the points, or no solution.