21-241: Lecture 7

On Wednesday, September 10, we discussed the "Geometry of Linear Systems of Equations." I devoted a significant amount of time to discussing the "Row Picture" and the "Column Picture." This terminology does not appear in our textbook. I found these ideas in a previous semester when we used Linear Algebra and It's Applications by Gilbert Strang as the textbook. This book is being used by another instructor this semester, so copies are floating around. The topics I discussed are in Section 1.2 of that book.