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seen May 5 '13 at 16:03

Noob extraordinaire


Apr
15
comment The rank of a linear transformation/matrix
Ok, it makes sense. Thanks!
Apr
15
comment The rank of a linear transformation/matrix
Also, what does mn equal to then?
Apr
15
comment The rank of a linear transformation/matrix
What do you mean by "the dimension of the image of the matrix, viewed as a linear transformation"?
Apr
15
comment The rank of a linear transformation/matrix
Ok, so I did some extra reading. Correct me if I'm wrong on the following: the rank of a mxn matrix is the maximum number of linearly independent rows, the nullity is the number of columns with no leading coefficients. Together, added, they equal to the dimension of the matrix? However, does nullity+rank actually equal the dim of the matrix which is mn?
Apr
3
comment Question about non-homogeneous and homogeneous linear D.E.
My professor did mention something about "plugging back in" but I didn't catch exactly what. I was frantically looking for some explanation in my 'existence and uniqueness' section of the book but I didn't even think to look for linearity. Thanks a lot, this was a pretty easy question now that you explained it.
Apr
3
comment Question about non-homogeneous and homogeneous linear D.E.
I did. Nothing is really making sense. He said something about "plugging it in" and seeing what it comes out to, but we were running out of time so I didn't catch it. And there is no other information. That's pretty much it.