Gaussian Elimination with Infinitely Many Solutions | Linear Algebra Exercises

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We go over solving a system of linear equations with infinite solutions using Gaussian elimination. In doing this, we reduce the matrix to row echelon form and then perform back substitution and parameterization then solve for the leading variables to get parametric equations describing the infinite solution set. A parametric description of the solution set implies infinitely many solutions. #linearalgebra

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0:00 Intro
0:10 Create Augmented Matrix
0:32 Gaussian Elimination on the Matrix
2:42 Solution Set
4:28 Conclusion

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Автор

Nice. What's the motivation for introducing the parameter, t? Why not just leave things in terms of x3? Just to drive home the fact that x3 is a free variable?

pipertripp