The row-space! col(A^{T}) (I bet that's coming soon haha) Dr. Peyam, what is a polylogarithm?! I have no idea and cant figure it out. I know that's unrelated but still haha maybe a good excuse for a video in the future. Thank you!!!
@@drpeyam It's in reference to this integral which I thought would be easy but apparently require a poly-logarithm function?? www.wolframalpha.com/input/?i=%5Cint_%7B0%7D%5E%7B1%7D+%5Cfrac%7Blog%28x%2B1%29%7D%7Bx%5E2%2B1%7D+dx Thank you Dr. Peyam, best wishes!
Sorry; but, i have a question: ¿where did you prove that the Rank(A)=Rank(A') where A' it's a row reduced matrix? I have been searching that video and i can't find it. I will be so thankful if you can tell me where is it. Great video.
@@drpeyam Great content, but yes, the correct A' (rref of A) would be: [1, 0, 0, 0, 1/5], [0, 1, 0, 3, -13/30], [0, 0, 1, 2, -1/3]] Consequently, column 2 is not linearly dependent (4:41). And column 5 is linearly dependent. And the basis of the nullspace of A are not those shown in this lesson (29:23), but this: [ 0] [-3] [-2] [ 1] [ 0] and [ -1/5] [13/30] [ 1/3] [ 0] [ 1]
thank you so much, this is much clearer than my TAs' explaination at my Uni.
quite exiting to see peyam upload a vid about stuff you just saw at uni
OMG we just went over nul(A), col(A), rank(A) today in class. So cool!
Nice!!!
Hello. Instructive video indeed. Thank you very much.
The row-space! col(A^{T}) (I bet that's coming soon haha)
Dr. Peyam, what is a polylogarithm?! I have no idea and cant figure it out.
I know that's unrelated but still haha maybe a good excuse for a video in the future.
Thank you!!!
No idea either! Hahaha
@@drpeyam It's in reference to this integral which I thought would be easy but apparently require a poly-logarithm function??
www.wolframalpha.com/input/?i=%5Cint_%7B0%7D%5E%7B1%7D+%5Cfrac%7Blog%28x%2B1%29%7D%7Bx%5E2%2B1%7D+dx
Thank you Dr. Peyam, best wishes!
@@plaustrarius This might help: en.wikipedia.org/wiki/Polylogarithm.
Sorry; but, i have a question: ¿where did you prove that the Rank(A)=Rank(A') where A' it's a row reduced matrix? I have been searching that video and i can't find it. I will be so thankful if you can tell me where is it. Great video.
hello tomoko kuroki
hello tomoko kuroki
@@iliillillilli2991 Hi ^^ :3OMG i'm actually thankful You brought me this memory, I studied linear algebra when I was in college.
@@ElDiarioLudita I just liked Watamote a lot, so I was surprised to see a tomoko kuroki pfp on a linear algebra video
Your A' is not the rref of A. I'm not sure where the mistake was, but the was one somewhere.
Possibly
@@drpeyam Great content, but yes, the correct A' (rref of A) would be:
[1, 0, 0, 0, 1/5],
[0, 1, 0, 3, -13/30],
[0, 0, 1, 2, -1/3]]
Consequently, column 2 is not linearly dependent (4:41). And column 5 is linearly dependent.
And the basis of the nullspace of A are not those shown in this lesson (29:23), but this:
[ 0]
[-3]
[-2]
[ 1]
[ 0]
and
[ -1/5]
[13/30]
[ 1/3]
[ 0]
[ 1]
rank A + dim Nul A= n
Shout out to blackpenredpen lol
f(x+y)=f(x)^ln(f (y)), f(x)=?