Computing the Four Fundamental Subspaces | MIT 18.06SC Linear Algebra, Fall 2011

Computing the Four Fundamental Subspaces | MIT 18.06SC Linear Algebra, Fall 2011


Daniel Ostrander

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9 thoughts on “Computing the Four Fundamental Subspaces | MIT 18.06SC Linear Algebra, Fall 2011

  1. Adam D says:

    Ben is just adorable. And cute, too 🙂

  2. Romina Liendro says:

    Why (0 0 1) is not a pivot column?!

  3. Andrey Surovtsev says:

    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!

  4. Sam Mathew says:

    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.

  5. And Wix says:

    how old is this guy?

  6. Anna Sanderson says:

    would be helpful if you wrote out how to solve things

  7. Wendy Wang says:

    How come if the U has 2 pivots, then the column space dimension is 2?

  8. Zhi Shu says:

    This is such a great problem for understanding the four matrices. Not really easy to explain.

  9. Nisarg Jain says:

    How is it essentially the same thing to take pivot columns from L matrix as basis??

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