Tagged Questions
2
votes
1answer
148 views
On certain decomposition of unitary symmetric matrices
It is well known that a symmetric matrix over field $\Bbb F$ is congruent to a diagonal matrix, i.e., there exists some A s.t. $A^TUA=D$ with $U$ symmetric and $D$ diagonal. If $\Bbb F=\Bbb C$ then we ...
1
vote
1answer
49 views
Intermediate textbook in Linear Algebra
I am looking for a Linear Algebra textbook that for those who just finished elementary Linear Algebra. I just finished Introductory to Linear Algebra by Strang and read to Least Squares and ...
2
votes
1answer
167 views
Is this reading path recommended?
Since doing math requires learning it first, I 've chosen a series of books to understand some ''Higher math''(which I want to read over a period of several years),and would like to see some ...
1
vote
0answers
86 views
Rank-2n tensor algebra eigenvalue equation
Im interested in resources and work done on the eigenvalue equation for rank-2n tensors:
$$
M_{ij}A_{j} = \lambda A_{i} \\
$$
$$
M_{ijkl}A_{kl} = \lambda A_{ij} \\
$$
$$
M_{ijklmn}A_{lmn} = \lambda ...
1
vote
1answer
41 views
Study of Matrix Calculus
I need to study matrix calculus such as integration, differentiation, differentiation of functions of determinants and inverse matrices and then also other matrix based calculations such as ...
0
votes
1answer
71 views
Book for pre-calculus, linear algebra, and calculus [closed]
I am from Spain! I want a book for studying linear algebra, all of precalculus and calculus for next year. I need something easy and complex. I don't understand much Spivak calculus. Gracias !
2
votes
1answer
38 views
Computing orthogonal projection onto range space of a given matrix
I have matrix $A =\begin{bmatrix}
2 & -2 & 0 & 0 & 0 & 0 \\
-2 & 2 & 0 & 0 & 0 & 0 \\
0 & 0 & 2 & -2 & 0 & 0 \\
0 & 0 & -2 ...
0
votes
2answers
131 views
ISO brief primer on special matrices
I am looking for a brief primer on the following types of matrices: stochastic, doubly stochastic, symplectic, Vandermonde, Hadamard, permutation, tridiagonal and circulant.
Nothing too deep, just a ...
9
votes
5answers
207 views
Book on tensors
Can anyone recommend me a book on tensors with an intuitive approach? I have some course notes on that subject, but it's really abstract and theoretical. I want to understand why tensors were ...
5
votes
6answers
361 views
First Course in Linear Algebra book suggestions? [duplicate]
I'm starting maths degree this September and hoping to do some reading on Linear Algebra before I start. What are some good introductory books?
Is there something that starts from the very beginning ...
3
votes
1answer
94 views
What's a good book on advanced linear algebra?
I'm taking an advanced linear algebra course and I'm a little confused about books. The teacher said we could use any book we wanted to, but he recomended just Hoffman and Kunze and also Kostrikin, ...
8
votes
7answers
2k views
Any good Graduate Level linear algebra textbook for practice/problem solving?
I am looking for good graduate linear algebra books that contain practice problems with solutions (which is better) or hints to solve the problems. By the way, two graduate courses I am gonna take are ...
1
vote
1answer
46 views
First Course in Linear algebra material request [duplicate]
I'm looking for good materials (can be on-line pdfs or books) in Linear Algebra,specifically in the part of basis, coordinates of vectors and the relationship of them and the matrix representation of ...
9
votes
9answers
2k views
More Theoretical and Less Computational Linear Algebra Textbook
I found what seems to be a good linear algebra book. However, I want a more theoretical as opposed to computational linear algebra book. The book is Linear Algebra with Applications 7th edition by ...
2
votes
1answer
631 views
A First Course in Linear Algebra Text
I intend to study linear algebra during my summer vacation.I will be thankful if anyone could please point me to a good text.I do not care about the difficulty as long as the book is self contained.I ...
1
vote
1answer
103 views
Short First Course in linear algebra text
I am currently reading a bit of real analysis from Dr Pugh's book and I intend to study abstract algebra from Dummit and Foote in a short time.
However, I wish to explore linear algebra in the ...
1
vote
1answer
165 views
First Course in Linear Algebra resources [duplicate]
Possible Duplicate:
Where to start learning Linear Algebra?
Are there any linear algebra resources which students can use for self study?
It hard copy of a book, online resources or ...
7
votes
6answers
2k views
Prerequisites/Books for A First Course in Linear Algebra
What mathematical knowledge do I need to begin studying linear algebra? In particular, how much calculus do I need to know?
Also, do you have a favorite linear algebra book you can recommend?
4
votes
3answers
310 views
A rigorous book on a First Course in linear algebra
I am just going to start linear algebra for my undergraduate course. And which is the best book available for linear algebra in terms of rigor and a book similar to calculus by Tom M Apostol (I like ...
2
votes
2answers
2k views
Best books on A Second Course in Linear Algebra [duplicate]
Possible Duplicate:
Prerequisites/Books for Linear Algebra
I've studied from David Poole's Linear Algebra: A Modern Introduction However, it's not very complete. I want to study subjects as ...
1
vote
1answer
163 views
Best book for an engineer to refresh everything and study math for fun?
I like Calculus, Linear Algebra, Number Theory, Geometry, etc. I pretty much like everything about Math. :) The good thing about math is that all you need is a good book, a stack of paper, a pencil ...
4
votes
6answers
444 views
Book suggestion for linear algebra “2”
I am almost finishing Gilbert Strang's book "An introduction to linear algebra" (plus video lectures at MIT OCW). First and foremost, I would like to suggest this course for everyone. It has been ...
1
vote
0answers
47 views
Second Linear Algebra Text for Budding Mathematician [duplicate]
I have already worked through Gilbert Strang's Introduction to Linear Algebra and am interested in learning more Linear Algebra.
What is a good follow-up to Strang for a budding mathematician?
EDIT: ...
0
votes
0answers
29 views
What is the symmetric tridiagonal Jacobi matrix?
What is the symmetric tridiagonal Jacobi matrix? I can not find much information about it.
Appreciate information.
2
votes
3answers
112 views
Text recommendation for introduction to linear algebra
I have learned linear algebra before, but with my right brain - basically nothing left, so, anyone can recommend me good textbook so I can learn it again?
The text should subject to the conditions ...
0
votes
0answers
46 views
A textbook on linear algebra where involutions on linear spaces are considered
Let us call an involution on a complex linear space $X$ an arbitrary $\mathbb R$-linear map $x\in X\mapsto x^*\in X$ that satisfies the following identities:
$$
x^{**}=x,\qquad (\lambda\cdot ...
3
votes
0answers
66 views
Typos in Hoffman and Kunze
Does anybody know where I can find a list of typos for
the second edition of Linear Algebra book
by Hoffman and Kunze? I tried google but to no avail.
Thanks
3
votes
1answer
179 views
High-level linear algebra book
Please, recommend high-level and modern books on linear algebra (not for first reading). Like Kostrikin, Manin "Linear algebra and geometry" or respective chapters of Lang "Algebra".
4
votes
1answer
66 views
If $U$ has $0$ intersection with the nonnegative orthant, why does $U^\perp$ contain a strongly positive vector?
In my book, I'm doing an exercise that says I can use the fact that if $U$ is a subspace of $\mathbb{R}^n$, and $U\cap\mathbb{R}_+^n=\{0\}$, where
$$
\mathbb{R}_+^n=\{(a_1,\dots,a_n)\mid a_i\geq 0\},
...
4
votes
1answer
67 views
Cholesky for Non-Positive Definite Matrices
I am trying to approximate a NPD matrix with the nearest PD form and compute its Cholesky decomposition.
I know that the usual method is to perform an eigenvalue decomposition, zero out the negative ...
