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?







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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














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?







share|cite|improve this question















  • 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












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?







share|cite|improve this question











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?









share|cite|improve this question










share|cite|improve this question




share|cite|improve this question









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












  • 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










2 Answers
2






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.






share|cite|improve this answer























  • 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

















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.






share|cite|improve this answer





















  • 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










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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.






share|cite|improve this answer























  • 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














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.






share|cite|improve this answer























  • 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












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.






share|cite|improve this answer















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.







share|cite|improve this answer















share|cite|improve this answer



share|cite|improve this answer








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
















  • 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










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.






share|cite|improve this answer





















  • 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














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.






share|cite|improve this answer





















  • 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












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.






share|cite|improve this answer













My favorite Linear Algebra textbook is Katsumi Nomizu's Fundamentals of Linear Algebra. It covers those topics that you are interested in.







share|cite|improve this answer













share|cite|improve this answer



share|cite|improve this answer











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
















  • 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












 

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