I think the easiest way to remember: if you view the matrix as a function, the nullspace is a subset of the domain, and the column space is a subset of the target space
Thank you for the review. This really clarified the confusion that I had after watching the previous video on the relationship between the column space and the null space.
Using the letter R (which is meant to stand for "range") was a strategic mistake. I should have used C. That said, I don't talk about the row space much compared to Prof. Strang.
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I think the easiest way to remember: if you view the matrix as a function, the nullspace is a subset of the domain, and the column space is a subset of the target space
Thank you for the review. This really clarified the confusion that I had after watching the previous video on the relationship between the column space and the null space.
Another great exposition , thank you Pavel!
Thank you!
Thanks Pavel, terrific lectures.
Great video as always. Why is the column space denoted by R rather than C? Is the row space as important as the column and null spaces?
Using the letter R (which is meant to stand for "range") was a strategic mistake. I should have used C. That said, I don't talk about the row space much compared to Prof. Strang.
Great thank you
Sure it was helpfull. Thank you