Book reference for linear algebra
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I have studied linear algebra during my bachelor's degree and Master's degree. I know the subject but not up-to the mark I want to understand linear algebra through linear transformation and specially the portion where we start decomposition of a vector space through a linear transformation. Like Jordan canonical form, primary decomposition theorem etc. There are so many great books available but I am unable to choose which one suit to my problem. I have gone through Hoffman and kunje and Axler earlie. I found Hoffman so much time taking it builds topic slowly. But whatever portion I studied from that book till linear transformation it was amazing.I want to know whether I should go through these books again or is there a text which I can go through for second course in linear algebra?
linear-algebra book-recommendation
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up vote
1
down vote
favorite
I have studied linear algebra during my bachelor's degree and Master's degree. I know the subject but not up-to the mark I want to understand linear algebra through linear transformation and specially the portion where we start decomposition of a vector space through a linear transformation. Like Jordan canonical form, primary decomposition theorem etc. There are so many great books available but I am unable to choose which one suit to my problem. I have gone through Hoffman and kunje and Axler earlie. I found Hoffman so much time taking it builds topic slowly. But whatever portion I studied from that book till linear transformation it was amazing.I want to know whether I should go through these books again or is there a text which I can go through for second course in linear algebra?
linear-algebra book-recommendation
1
Did you watch 3blue1brown videos on linear algebra? youtube.com/playlist?list=PLZHQObOWTQDPD3MizzM2xVFitgF8hE_ab
– geeky me
Jul 27 at 6:54
1
Yaa I watched these videos are really nice and intuitive
– Prakash Nainwal
Jul 27 at 7:29
add a comment |Â
up vote
1
down vote
favorite
up vote
1
down vote
favorite
I have studied linear algebra during my bachelor's degree and Master's degree. I know the subject but not up-to the mark I want to understand linear algebra through linear transformation and specially the portion where we start decomposition of a vector space through a linear transformation. Like Jordan canonical form, primary decomposition theorem etc. There are so many great books available but I am unable to choose which one suit to my problem. I have gone through Hoffman and kunje and Axler earlie. I found Hoffman so much time taking it builds topic slowly. But whatever portion I studied from that book till linear transformation it was amazing.I want to know whether I should go through these books again or is there a text which I can go through for second course in linear algebra?
linear-algebra book-recommendation
I have studied linear algebra during my bachelor's degree and Master's degree. I know the subject but not up-to the mark I want to understand linear algebra through linear transformation and specially the portion where we start decomposition of a vector space through a linear transformation. Like Jordan canonical form, primary decomposition theorem etc. There are so many great books available but I am unable to choose which one suit to my problem. I have gone through Hoffman and kunje and Axler earlie. I found Hoffman so much time taking it builds topic slowly. But whatever portion I studied from that book till linear transformation it was amazing.I want to know whether I should go through these books again or is there a text which I can go through for second course in linear algebra?
linear-algebra book-recommendation
asked Jul 27 at 6:43
Prakash Nainwal
134
134
1
Did you watch 3blue1brown videos on linear algebra? youtube.com/playlist?list=PLZHQObOWTQDPD3MizzM2xVFitgF8hE_ab
– geeky me
Jul 27 at 6:54
1
Yaa I watched these videos are really nice and intuitive
– Prakash Nainwal
Jul 27 at 7:29
add a comment |Â
1
Did you watch 3blue1brown videos on linear algebra? youtube.com/playlist?list=PLZHQObOWTQDPD3MizzM2xVFitgF8hE_ab
– geeky me
Jul 27 at 6:54
1
Yaa I watched these videos are really nice and intuitive
– Prakash Nainwal
Jul 27 at 7:29
1
1
Did you watch 3blue1brown videos on linear algebra? youtube.com/playlist?list=PLZHQObOWTQDPD3MizzM2xVFitgF8hE_ab
– geeky me
Jul 27 at 6:54
Did you watch 3blue1brown videos on linear algebra? youtube.com/playlist?list=PLZHQObOWTQDPD3MizzM2xVFitgF8hE_ab
– geeky me
Jul 27 at 6:54
1
1
Yaa I watched these videos are really nice and intuitive
– Prakash Nainwal
Jul 27 at 7:29
Yaa I watched these videos are really nice and intuitive
– Prakash Nainwal
Jul 27 at 7:29
add a comment |Â
2 Answers
2
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accepted
When I took linear algebra at Berkeley in the late 80's, Bill Jacob taught from his book, which was still in manuscript form. He was quite good, and I would recommend the book. I looked him up recently, and he is now head of the department at UCSB. He is quite accomplished...
Then there is Gilbert Strang's book, Linear Algebra and Its Applications, i think it is called. As the title suggests, it has a decidedly applied feel. I think it's pretty good. Btw, he's a professor at MIT.
There was a popular book by an author named Anton, i believe it was.
As you mentioned, there are quite a few.
Finally, i believe my former advisor Peter Petersen at UCLA has a book on the subject. Though I can't tell you anything about it's focus or approach, it should be pretty good.
Oh, and one last one: P R Halmos wrote a book called Finite Dimensional Vector Spaces which is supposed to be pretty good...
Just to name a few...
Sorry I can't remember for sure if they cover the topics you mentioned; but I have a feeling they are pretty standard.
Actually in strang's book he has used matrices. I want to go through a book which describe linear algebra through linear transformation and then discover the properties of matrices. As Hoffman or Axler they have not focused much on matrices..thanks for your suggestions
– Prakash Nainwal
Jul 27 at 7:40
add a comment |Â
up vote
1
down vote
My favorite Linear Algebra textbook is Katsumi Nomizu's Fundamentals of Linear Algebra. It covers those topics that you are interested in.
Why a -1? This answers the question.
– Paul
Jul 27 at 8:13
@Paul I suppose that this was meant as an attack on me, rather than a criticism os my answer. I say this because at the same time that I got this downvote, I got another one to my answer to this question
– José Carlos Santos
Jul 27 at 8:15
Life on the internet I suppose.
– Paul
Jul 27 at 8:34
+1 to compensate idiocy and since the book indeed addresses those topics.
– Mathematician 42
Jul 27 at 8:53
@Mathematician42 Thank you. That was a nice gesture.
– José Carlos Santos
Jul 27 at 9:01
 |Â
show 2 more comments
2 Answers
2
active
oldest
votes
2 Answers
2
active
oldest
votes
active
oldest
votes
active
oldest
votes
up vote
0
down vote
accepted
When I took linear algebra at Berkeley in the late 80's, Bill Jacob taught from his book, which was still in manuscript form. He was quite good, and I would recommend the book. I looked him up recently, and he is now head of the department at UCSB. He is quite accomplished...
Then there is Gilbert Strang's book, Linear Algebra and Its Applications, i think it is called. As the title suggests, it has a decidedly applied feel. I think it's pretty good. Btw, he's a professor at MIT.
There was a popular book by an author named Anton, i believe it was.
As you mentioned, there are quite a few.
Finally, i believe my former advisor Peter Petersen at UCLA has a book on the subject. Though I can't tell you anything about it's focus or approach, it should be pretty good.
Oh, and one last one: P R Halmos wrote a book called Finite Dimensional Vector Spaces which is supposed to be pretty good...
Just to name a few...
Sorry I can't remember for sure if they cover the topics you mentioned; but I have a feeling they are pretty standard.
Actually in strang's book he has used matrices. I want to go through a book which describe linear algebra through linear transformation and then discover the properties of matrices. As Hoffman or Axler they have not focused much on matrices..thanks for your suggestions
– Prakash Nainwal
Jul 27 at 7:40
add a comment |Â
up vote
0
down vote
accepted
When I took linear algebra at Berkeley in the late 80's, Bill Jacob taught from his book, which was still in manuscript form. He was quite good, and I would recommend the book. I looked him up recently, and he is now head of the department at UCSB. He is quite accomplished...
Then there is Gilbert Strang's book, Linear Algebra and Its Applications, i think it is called. As the title suggests, it has a decidedly applied feel. I think it's pretty good. Btw, he's a professor at MIT.
There was a popular book by an author named Anton, i believe it was.
As you mentioned, there are quite a few.
Finally, i believe my former advisor Peter Petersen at UCLA has a book on the subject. Though I can't tell you anything about it's focus or approach, it should be pretty good.
Oh, and one last one: P R Halmos wrote a book called Finite Dimensional Vector Spaces which is supposed to be pretty good...
Just to name a few...
Sorry I can't remember for sure if they cover the topics you mentioned; but I have a feeling they are pretty standard.
Actually in strang's book he has used matrices. I want to go through a book which describe linear algebra through linear transformation and then discover the properties of matrices. As Hoffman or Axler they have not focused much on matrices..thanks for your suggestions
– Prakash Nainwal
Jul 27 at 7:40
add a comment |Â
up vote
0
down vote
accepted
up vote
0
down vote
accepted
When I took linear algebra at Berkeley in the late 80's, Bill Jacob taught from his book, which was still in manuscript form. He was quite good, and I would recommend the book. I looked him up recently, and he is now head of the department at UCSB. He is quite accomplished...
Then there is Gilbert Strang's book, Linear Algebra and Its Applications, i think it is called. As the title suggests, it has a decidedly applied feel. I think it's pretty good. Btw, he's a professor at MIT.
There was a popular book by an author named Anton, i believe it was.
As you mentioned, there are quite a few.
Finally, i believe my former advisor Peter Petersen at UCLA has a book on the subject. Though I can't tell you anything about it's focus or approach, it should be pretty good.
Oh, and one last one: P R Halmos wrote a book called Finite Dimensional Vector Spaces which is supposed to be pretty good...
Just to name a few...
Sorry I can't remember for sure if they cover the topics you mentioned; but I have a feeling they are pretty standard.
When I took linear algebra at Berkeley in the late 80's, Bill Jacob taught from his book, which was still in manuscript form. He was quite good, and I would recommend the book. I looked him up recently, and he is now head of the department at UCSB. He is quite accomplished...
Then there is Gilbert Strang's book, Linear Algebra and Its Applications, i think it is called. As the title suggests, it has a decidedly applied feel. I think it's pretty good. Btw, he's a professor at MIT.
There was a popular book by an author named Anton, i believe it was.
As you mentioned, there are quite a few.
Finally, i believe my former advisor Peter Petersen at UCLA has a book on the subject. Though I can't tell you anything about it's focus or approach, it should be pretty good.
Oh, and one last one: P R Halmos wrote a book called Finite Dimensional Vector Spaces which is supposed to be pretty good...
Just to name a few...
Sorry I can't remember for sure if they cover the topics you mentioned; but I have a feeling they are pretty standard.
edited Jul 27 at 7:22
answered Jul 27 at 7:02
Chris Custer
5,2782622
5,2782622
Actually in strang's book he has used matrices. I want to go through a book which describe linear algebra through linear transformation and then discover the properties of matrices. As Hoffman or Axler they have not focused much on matrices..thanks for your suggestions
– Prakash Nainwal
Jul 27 at 7:40
add a comment |Â
Actually in strang's book he has used matrices. I want to go through a book which describe linear algebra through linear transformation and then discover the properties of matrices. As Hoffman or Axler they have not focused much on matrices..thanks for your suggestions
– Prakash Nainwal
Jul 27 at 7:40
Actually in strang's book he has used matrices. I want to go through a book which describe linear algebra through linear transformation and then discover the properties of matrices. As Hoffman or Axler they have not focused much on matrices..thanks for your suggestions
– Prakash Nainwal
Jul 27 at 7:40
Actually in strang's book he has used matrices. I want to go through a book which describe linear algebra through linear transformation and then discover the properties of matrices. As Hoffman or Axler they have not focused much on matrices..thanks for your suggestions
– Prakash Nainwal
Jul 27 at 7:40
add a comment |Â
up vote
1
down vote
My favorite Linear Algebra textbook is Katsumi Nomizu's Fundamentals of Linear Algebra. It covers those topics that you are interested in.
Why a -1? This answers the question.
– Paul
Jul 27 at 8:13
@Paul I suppose that this was meant as an attack on me, rather than a criticism os my answer. I say this because at the same time that I got this downvote, I got another one to my answer to this question
– José Carlos Santos
Jul 27 at 8:15
Life on the internet I suppose.
– Paul
Jul 27 at 8:34
+1 to compensate idiocy and since the book indeed addresses those topics.
– Mathematician 42
Jul 27 at 8:53
@Mathematician42 Thank you. That was a nice gesture.
– José Carlos Santos
Jul 27 at 9:01
 |Â
show 2 more comments
up vote
1
down vote
My favorite Linear Algebra textbook is Katsumi Nomizu's Fundamentals of Linear Algebra. It covers those topics that you are interested in.
Why a -1? This answers the question.
– Paul
Jul 27 at 8:13
@Paul I suppose that this was meant as an attack on me, rather than a criticism os my answer. I say this because at the same time that I got this downvote, I got another one to my answer to this question
– José Carlos Santos
Jul 27 at 8:15
Life on the internet I suppose.
– Paul
Jul 27 at 8:34
+1 to compensate idiocy and since the book indeed addresses those topics.
– Mathematician 42
Jul 27 at 8:53
@Mathematician42 Thank you. That was a nice gesture.
– José Carlos Santos
Jul 27 at 9:01
 |Â
show 2 more comments
up vote
1
down vote
up vote
1
down vote
My favorite Linear Algebra textbook is Katsumi Nomizu's Fundamentals of Linear Algebra. It covers those topics that you are interested in.
My favorite Linear Algebra textbook is Katsumi Nomizu's Fundamentals of Linear Algebra. It covers those topics that you are interested in.
answered Jul 27 at 6:50


José Carlos Santos
113k1696173
113k1696173
Why a -1? This answers the question.
– Paul
Jul 27 at 8:13
@Paul I suppose that this was meant as an attack on me, rather than a criticism os my answer. I say this because at the same time that I got this downvote, I got another one to my answer to this question
– José Carlos Santos
Jul 27 at 8:15
Life on the internet I suppose.
– Paul
Jul 27 at 8:34
+1 to compensate idiocy and since the book indeed addresses those topics.
– Mathematician 42
Jul 27 at 8:53
@Mathematician42 Thank you. That was a nice gesture.
– José Carlos Santos
Jul 27 at 9:01
 |Â
show 2 more comments
Why a -1? This answers the question.
– Paul
Jul 27 at 8:13
@Paul I suppose that this was meant as an attack on me, rather than a criticism os my answer. I say this because at the same time that I got this downvote, I got another one to my answer to this question
– José Carlos Santos
Jul 27 at 8:15
Life on the internet I suppose.
– Paul
Jul 27 at 8:34
+1 to compensate idiocy and since the book indeed addresses those topics.
– Mathematician 42
Jul 27 at 8:53
@Mathematician42 Thank you. That was a nice gesture.
– José Carlos Santos
Jul 27 at 9:01
Why a -1? This answers the question.
– Paul
Jul 27 at 8:13
Why a -1? This answers the question.
– Paul
Jul 27 at 8:13
@Paul I suppose that this was meant as an attack on me, rather than a criticism os my answer. I say this because at the same time that I got this downvote, I got another one to my answer to this question
– José Carlos Santos
Jul 27 at 8:15
@Paul I suppose that this was meant as an attack on me, rather than a criticism os my answer. I say this because at the same time that I got this downvote, I got another one to my answer to this question
– José Carlos Santos
Jul 27 at 8:15
Life on the internet I suppose.
– Paul
Jul 27 at 8:34
Life on the internet I suppose.
– Paul
Jul 27 at 8:34
+1 to compensate idiocy and since the book indeed addresses those topics.
– Mathematician 42
Jul 27 at 8:53
+1 to compensate idiocy and since the book indeed addresses those topics.
– Mathematician 42
Jul 27 at 8:53
@Mathematician42 Thank you. That was a nice gesture.
– José Carlos Santos
Jul 27 at 9:01
@Mathematician42 Thank you. That was a nice gesture.
– José Carlos Santos
Jul 27 at 9:01
 |Â
show 2 more comments
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1
Did you watch 3blue1brown videos on linear algebra? youtube.com/playlist?list=PLZHQObOWTQDPD3MizzM2xVFitgF8hE_ab
– geeky me
Jul 27 at 6:54
1
Yaa I watched these videos are really nice and intuitive
– Prakash Nainwal
Jul 27 at 7:29