Articles , Blog December 23, 2019 9 Comments Computing the Four Fundamental Subspaces | MIT 18.06SC Linear Algebra, Fall 2011 Related posts: Computing the Singular Value Decomposition | MIT 18.06SC Linear Algebra, Fall 2011 Computing the Four Fundamental Subspaces Records Management An Introduction to Filing Rules and Indexing Clustered vs. Nonclustered Index Structures in SQL Server TAGS fundamental subspaces, linear algebra Daniel Ostrander Post navigation Computing for the Marketplace: Entrepreneurship and AIComputing the Four Fundamental Subspaces Related Posts March 8, 2020 People Guess Urban Dictionary Definitions March 8, 2020 [Godot Engine] DataBase System – Data Dictionary & JSON March 8, 2020 Oxford dictionary – 20. A Bad Day at Work – learn English vocabulary with picture 9 thoughts on “Computing the Four Fundamental Subspaces | MIT 18.06SC Linear Algebra, Fall 2011” Adam D says: October 21, 2013 at 1:25 am Ben is just adorable. And cute, too 🙂 Reply Romina Liendro says: May 21, 2014 at 10:38 pm Why (0 0 1) is not a pivot column?! Reply Andrey Surovtsev says: October 14, 2014 at 8:45 pm I have to admit, when having the problem already solved and checking my solution against the recital I was quite annoyed with the redundant verbosity of Ben. The following bragging about the source matrices didn't seem very useful as well…The last picture however was completely a revelation! I found it drawn impressively easy to understand and to the moment there has been no such a clear visualization in Mister Strang's lectures. I'm sure it is surely to follow. And thank you, Ben, for this such an interesting foresight! Reply Sam Mathew says: June 24, 2015 at 8:41 am Nice interpretation, especially from the last figure. Thanks Ben.Just a small error though, the N(B) has (-3/5 , -1, 1). You wrote the first coordinate as -3/2 on the figure. Reply And Wix says: February 12, 2016 at 5:09 am how old is this guy? Reply Anna Sanderson says: May 16, 2016 at 3:47 am would be helpful if you wrote out how to solve things Reply Wendy Wang says: June 2, 2017 at 4:43 pm How come if the U has 2 pivots, then the column space dimension is 2? Reply Zhi Shu says: July 30, 2017 at 5:38 am This is such a great problem for understanding the four matrices. Not really easy to explain. Reply Nisarg Jain says: December 9, 2018 at 6:08 pm How is it essentially the same thing to take pivot columns from L matrix as basis?? Reply Leave a Reply Cancel reply Your email address will not be published. Required fields are marked *Comment Name * Email * Save my name, email, and website in this browser for the next time I comment.