Algebra 59 - A Geometric View of Gauss-Jordan with Dependent Systems

This lecture examines an example of Gauss-Jordan elimination on a dependent system from Algebra chapter 58, and follows how the planes are geometrically transformed step by step, from a system of three planes, representing three equations, each containing three variables, to a system of two planes representing two equations, each containing only two variables. The result is a simpler system from which a parametric representation of the infinite solution set can then be easily written.

[adolfocarrillo]

This is deeper than it seems, here in this series are the fundaments to comprehend the linear algebra purpose. Thanks for sharing your knowledge Mr. Steve Goldman and Mr.Mark Rodriguez.

[atsul.]

Never thought an animated professor could be this way cooler than a real world professor. Great job professor ...hawk and your team.

[cherylavila]

Math teachers, have you ever wanted to be able to explain solving systems graphically for your visual learners? I suggest you check out this whole series of WhyU videos. The graphics may help to inspire some of those "light bulb" moments in your classroom.

[MAM-pdmx]

I only got confused in the beginning, aren't both systems dependent? (because their solution is a line in both cases?)