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

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Lauren Hutton Cosmetics

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

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

Ben is just adorable. And cute, too ðŸ™‚

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

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!

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.

how old is this guy?

would be helpful if you wrote out how to solve things

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

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

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