The definition of the exchange lemma
2
$begingroup$
We've just learnt about the exchange lemma, and I was looking at someone else's notes - I don't understand the point 2. How can $psi_t in {psi_1,...,psi_n }$? Should it not be in ${varphi_1,...,varphi_n}$?
linear-algebra vector-spaces
edited Dec 24 '18 at 7:24
Glorfindel
3,41381830
asked Jan 16 '14 at 18:47
WarzWarz
4641416
$endgroup$
add a comment |
2
$begingroup$
We've just learnt about the exchange lemma, and I was looking at someone else's notes - I don't understand the point 2. How can $psi_t in {psi_1,...,psi_n }$? Should it not be in ${varphi_1,...,varphi_n}$?
linear-algebra vector-spaces
edited Dec 24 '18 at 7:24
Glorfindel
3,41381830
asked Jan 16 '14 at 18:47
WarzWarz
4641416
$endgroup$
1
$begingroup$
Yes, you're right. That's most probably a typo. What book is that? +1
$endgroup$
– DonAntonio
Jan 16 '14 at 18:50
$begingroup$
It's not a book, just some notes I found online - sorry for asking such a basic question, just wanted to make sure I wasn't missing anything important. Thanks.
$endgroup$
– Warz
Jan 16 '14 at 18:51
1
$begingroup$
Ok, fine. My advice is that you continue the search: the above is not, imo, the best way to present the very important exchange Theorem, typo aside.
$endgroup$
– DonAntonio
Jan 16 '14 at 18:52
$begingroup$
Any recommendations? I'm looking at the proof, and I can barely follow it, perhaps I just don't understand the exchange lemma.
$endgroup$
– Warz
Jan 16 '14 at 18:53
$begingroup$
Try even Wikipedia, @Warz, or books.google.co.il/… , or pancratz.org/notes/LinearAlgebra.pdf , theorem 1.5 , etc.
$endgroup$
– DonAntonio
Jan 16 '14 at 19:00
add a comment |
2
2
2
$begingroup$
We've just learnt about the exchange lemma, and I was looking at someone else's notes - I don't understand the point 2. How can $psi_t in {psi_1,...,psi_n }$? Should it not be in ${varphi_1,...,varphi_n}$?
linear-algebra vector-spaces
edited Dec 24 '18 at 7:24
Glorfindel
3,41381830
asked Jan 16 '14 at 18:47
WarzWarz
4641416
$endgroup$
We've just learnt about the exchange lemma, and I was looking at someone else's notes - I don't understand the point 2. How can $psi_t in {psi_1,...,psi_n }$? Should it not be in ${varphi_1,...,varphi_n}$?
linear-algebra vector-spaces
linear-algebra vector-spaces
edited Dec 24 '18 at 7:24
Glorfindel
3,41381830
asked Jan 16 '14 at 18:47
WarzWarz
4641416
edited Dec 24 '18 at 7:24
Glorfindel
3,41381830
asked Jan 16 '14 at 18:47
WarzWarz
4641416
edited Dec 24 '18 at 7:24
Glorfindel
3,41381830
edited Dec 24 '18 at 7:24
Glorfindel
3,41381830
edited Dec 24 '18 at 7:24
Glorfindel
3,41381830
3,41381830
asked Jan 16 '14 at 18:47
WarzWarz
4641416
asked Jan 16 '14 at 18:47
WarzWarz
4641416
asked Jan 16 '14 at 18:47
WarzWarz
4641416
4641416
1
$begingroup$
Yes, you're right. That's most probably a typo. What book is that? +1
$endgroup$
– DonAntonio
Jan 16 '14 at 18:50
$begingroup$
It's not a book, just some notes I found online - sorry for asking such a basic question, just wanted to make sure I wasn't missing anything important. Thanks.
$endgroup$
– Warz
Jan 16 '14 at 18:51
1
$begingroup$
Ok, fine. My advice is that you continue the search: the above is not, imo, the best way to present the very important exchange Theorem, typo aside.
$endgroup$
– DonAntonio
Jan 16 '14 at 18:52
$begingroup$
Any recommendations? I'm looking at the proof, and I can barely follow it, perhaps I just don't understand the exchange lemma.
$endgroup$
– Warz
Jan 16 '14 at 18:53
$begingroup$
Try even Wikipedia, @Warz, or books.google.co.il/… , or pancratz.org/notes/LinearAlgebra.pdf , theorem 1.5 , etc.
$endgroup$
– DonAntonio
Jan 16 '14 at 19:00
add a comment |
1
$begingroup$
Yes, you're right. That's most probably a typo. What book is that? +1
$endgroup$
– DonAntonio
Jan 16 '14 at 18:50
$begingroup$
It's not a book, just some notes I found online - sorry for asking such a basic question, just wanted to make sure I wasn't missing anything important. Thanks.
$endgroup$
– Warz
Jan 16 '14 at 18:51
1
$begingroup$
Ok, fine. My advice is that you continue the search: the above is not, imo, the best way to present the very important exchange Theorem, typo aside.
$endgroup$
– DonAntonio
Jan 16 '14 at 18:52
$begingroup$
Any recommendations? I'm looking at the proof, and I can barely follow it, perhaps I just don't understand the exchange lemma.
$endgroup$
– Warz
Jan 16 '14 at 18:53
$begingroup$
Try even Wikipedia, @Warz, or books.google.co.il/… , or pancratz.org/notes/LinearAlgebra.pdf , theorem 1.5 , etc.
$endgroup$
– DonAntonio
Jan 16 '14 at 19:00
1
1
$begingroup$
Yes, you're right. That's most probably a typo. What book is that? +1
$endgroup$
– DonAntonio
Jan 16 '14 at 18:50
$begingroup$
Yes, you're right. That's most probably a typo. What book is that? +1
$endgroup$
– DonAntonio
Jan 16 '14 at 18:50
$begingroup$
It's not a book, just some notes I found online - sorry for asking such a basic question, just wanted to make sure I wasn't missing anything important. Thanks.
$endgroup$
– Warz
Jan 16 '14 at 18:51
$begingroup$
It's not a book, just some notes I found online - sorry for asking such a basic question, just wanted to make sure I wasn't missing anything important. Thanks.
$endgroup$
– Warz
Jan 16 '14 at 18:51
1
1
$begingroup$
Ok, fine. My advice is that you continue the search: the above is not, imo, the best way to present the very important exchange Theorem, typo aside.
$endgroup$
– DonAntonio
Jan 16 '14 at 18:52
$begingroup$
Ok, fine. My advice is that you continue the search: the above is not, imo, the best way to present the very important exchange Theorem, typo aside.
$endgroup$
– DonAntonio
Jan 16 '14 at 18:52
$begingroup$
Any recommendations? I'm looking at the proof, and I can barely follow it, perhaps I just don't understand the exchange lemma.
$endgroup$
– Warz
Jan 16 '14 at 18:53
$begingroup$
Any recommendations? I'm looking at the proof, and I can barely follow it, perhaps I just don't understand the exchange lemma.
$endgroup$
– Warz
Jan 16 '14 at 18:53
$begingroup$
Try even Wikipedia, @Warz, or books.google.co.il/… , or pancratz.org/notes/LinearAlgebra.pdf , theorem 1.5 , etc.
$endgroup$
– DonAntonio
Jan 16 '14 at 19:00
$begingroup$
Try even Wikipedia, @Warz, or books.google.co.il/… , or pancratz.org/notes/LinearAlgebra.pdf , theorem 1.5 , etc.
$endgroup$
– DonAntonio
Jan 16 '14 at 19:00
add a comment |
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1
$begingroup$
Yes, you're right. That's most probably a typo. What book is that? +1
$endgroup$
– DonAntonio
Jan 16 '14 at 18:50
$begingroup$
It's not a book, just some notes I found online - sorry for asking such a basic question, just wanted to make sure I wasn't missing anything important. Thanks.
$endgroup$
– Warz
Jan 16 '14 at 18:51
1
$begingroup$
Ok, fine. My advice is that you continue the search: the above is not, imo, the best way to present the very important exchange Theorem, typo aside.
$endgroup$
– DonAntonio
Jan 16 '14 at 18:52
$begingroup$
Any recommendations? I'm looking at the proof, and I can barely follow it, perhaps I just don't understand the exchange lemma.
$endgroup$
– Warz
Jan 16 '14 at 18:53
$begingroup$
Try even Wikipedia, @Warz, or books.google.co.il/… , or pancratz.org/notes/LinearAlgebra.pdf , theorem 1.5 , etc.
$endgroup$
– DonAntonio
Jan 16 '14 at 19:00