Visualizing Solutions to Linear Systems - - 2D & 3D Cases Geometrically

Description: We look at the geometric picture given by systems of linear equations. In particular, we will be able to: *Sketch what the solution to a SINGLE 2D or 3D linear equation looks like (including special cases like 0x+0y=0) * Sketch the solution to a system or 2D or 3D linear equations * Decide whether there are 0, 1, or Infinitely many solutions to a System of Linear Equations described geometrically. *************************************************************************** Now it's your turn: 1) Summarize the big idea of this video in your own words 2) Write down anything you are unsure about to think about later 3) What questions for the future do you have? Where are we going with this content? 4) Can you come up with your own sample test problem on this material? Solve it! Learning mathematics is best done by actually DOING mathematics. A video like this can only ever be a starting point. I might show you the basic ideas, definitions, formulas, and examples, but to truly master math means that you have to spend time - a lot of time! - sitting down and trying problems yourself, asking questions, and thinking about mathematics. So before you go on to the next video, pause and go THINK. This video is part of a Linear Algebra course taught by Dr. Trefor Bazett at the University of Cincinnati. BECOME A MEMBER: ►Join: https://www.youtube.com/channel/UC9rTsvTxJnx1DNrDA3Rqa6A/join MATH BOOKS & MERCH I LOVE: ► My Amazon Affiliate Shop: https://www.amazon.com/shop/treforbazett