I think that your channel is going to be the difference that makes me pass this course. It seems so simple and approachable when you explain things, thank you.
At 5:05 when you have all of those questions you want us to solve. Could you word it "is the span [u,v] linearly independent" ... I just want to make sure that's using the correct terminology because that's what I'm currently trying to get down
Can vectors be independent in the column space while being dependent in the row space? because at 5:00 the first example's row space would be column space of A^T and that would mean columns more than rows which says its dependent?
I think that your channel is going to be the difference that makes me pass this course. It seems so simple and approachable when you explain things, thank you.
ooohhhh my god. You are a savior and an angel. thank you so much for your videos. truly appreciated. God bless you.
Another well explained video
I think it’s supposed to be [mxn] is linearly dependent if n>m 2:45
what would i do without ur channel kimberly
Spread the word! Trying to get to 100k
At 2:46, did you mean to say "linearly dependent" ?
Yes, it's "Dependent" only, checked from the book.
Yes, it should be "linearly dependent."
7:30 2R2 + R3 right? but why 2 x 2 -4 not 2 x 0 - 4? the row 2 is already 0, 14, -4 not 2, 2, -4 no more?
can anyone suggest some books or websites for exercises?
You can prefer David C.Lay
At 5:05 when you have all of those questions you want us to solve. Could you word it "is the span [u,v] linearly independent" ... I just want to make sure that's using the correct terminology because that's what I'm currently trying to get down
{u,v} refers to the set of 2 vectors u and v, not the span. So the question is asking whether the set is linearly independent, not the span.
Can vectors be independent in the column space while being dependent in the row space? because at 5:00 the first example's row space would be column space of A^T and that would mean columns more than rows which says its dependent?
But you have two columns and three rows, not the other way around. So linearly independent :)
You seem to have completely missed mentioning Theorem 7 from the book.