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Linear & Abstract Algebra

- Vector spaces and linear transformations. Groups and other algebraic structures along with Number Theory.
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Jan16-12 Greg Bernhardt
Please post any and all homework or other textbook-style problems in one of the Homework & Coursework Questions...
Feb23-13 09:24 AM
micromass
1 34,922
The logic that odd composite with least difference will be factored easily and large difference would factored hardly...
Jan1-13 09:30 AM
mfb
4 1,606
Hello everyone, I found that you're actively discussing math problems here and thought to share my problem with...
Jan1-13 03:33 AM
phd_student
0 972
Suppose that a = aBc where a and c are vectors and B is some matrix that changes as time "continuously" goes on -...
Dec31-12 04:20 AM
dotiozeros
0 797
Hey all, I have been playing around with a special type of matrix and am wondering if anyone knows of some literature...
Dec30-12 11:21 PM
orthogonal
4 1,403
Hi All, I have a hard time answering the following. I need some help. Let Z={a,b,c,d,e,f} and let X denote the...
Dec30-12 01:31 PM
laptopmarch
1 728
Is there any algorithm to form a magic square of any size with a desired magic sum ? Also can we make a magic square...
Dec30-12 08:09 AM
RamaWolf
6 2,050
The book I am going through says this : The below proposition is false for real inner product spaces. As an...
Dec28-12 06:46 PM
chiro
3 978
I was looking for a hint on a problem in my professor's notes (class is over and I was just auditing). I want to...
Dec28-12 06:42 AM
sammycaps
12 1,270
Question is : If m,k,n are natural numbers and n>1, prove that we cannot have m(m+1)=kn. My attempt : Using...
Dec27-12 12:16 PM
mathwonk
16 2,938
This may be a very silly question, but still apologies, I read in Sheldon Axler, that the inner product of two...
Dec27-12 07:31 AM
vish_maths
3 835
Hello, I was wondering, why is the vector projection useful in the way that it is presented? Why isnt just the...
Dec27-12 03:30 AM
Stephen Tashi
12 2,154
I've got a general question about Lie algebras, which is basically this: Q: What is there to be said about the Lie...
Dec27-12 01:10 AM
Couchyam
0 743
Video illustration Hello, Me and a friend, David Barrack, are non-mathematicians but we've been having fun...
Dec25-12 11:34 AM
micromass
2 2,018
I have an equation (constraint) which I wish to solve explicitly in terms of gd (or more precisely a scaling factor of...
Dec25-12 02:42 AM
james1234
1 842
Prof. Hugh Montgomery has been quoted as saying that it appeared that, if the Riemann hypothesis is true, the...
Dec23-12 10:37 AM
nomadreid
0 852
Imagine we have two operators A and B on a complex hilbert space H such that: \psi = (AB-BA) \psi=c \psi \ \ \ \...
Dec22-12 10:42 PM
micromass
6 1,082
Hi, I was playing with Riemann zeta function on mathematica. I encountered with a quite interesting result. I iterated...
Dec22-12 09:48 PM
Jeff Cook
10 2,017
Apart from simplifying matrix powers, why do we want to diagonalize a matrix? Do they have any appealing application...
Dec22-12 06:03 PM
marxLynx
4 1,254
What is the best way of introducing singular value decomposition (SVD) on a linear algebra course? Why is it so...
Dec22-12 03:19 PM
Stephen Tashi
2 741
If A\in\mathbb{C}^{N\times N} is some complex matrix, is there anything we could say about the determinant of the...
Dec22-12 08:15 AM
sfn17
2 5,220
I have been trying to prove the following result: If A is real symmetric matrix with an eigenvalue lambda of...
Dec22-12 04:54 AM
matqkks
2 1,018
I know that we say two representations R and R' of a group G is equivalent if there exists a unitary matrix U such...
Dec21-12 07:51 PM
micromass
2 802
I am reading linear algebra by Georgi Shilov. It is my first encounter with linear algebra. After defining what a...
Dec21-12 06:23 PM
Fredrik
5 1,182
Hello everyone, first time poster, long time reader here! I'm an ex-math major and while I'm no longer pursuing a...
Dec21-12 04:15 PM
johnqwertyful
5 1,045
Getting ready for linear algebra exam. One question that I got right but not exactly sure why is this: ---...
Dec21-12 03:38 PM
Frogeyedpeas
4 1,064
Let B={b1,b2} and C={c1,c2} be basis. Then the change of coordinate matrix P(C to B) involves the C-coordinate vectors...
Dec19-12 10:20 PM
bonfire09
2 1,002
Hello Could anyone give an intuitive explanation of the determinant? I know mostly what the determinant means and I...
Dec19-12 12:26 PM
mathwonk
4 1,046
Eigen values of a complex symmetric matrix which is NOT a hermitian are not always real. I want to formulate...
Dec19-12 12:00 PM
Robert1986
14 2,087
Hey! Is there an infinite ring with exactly two maximal ideals. Thanks in advance LiKeMath
Dec19-12 11:29 AM
mathwonk
4 1,223
Hello, If we have two vectors u,v then in an inner product space, they are said to be orthogonal if <u,v>=0. ...
Dec19-12 11:11 AM
Erland
1 894
Homomorphism is defined by ##f(x*y)=f(x)\cdot f(y)##. One interesting example of this is logarithm function...
Dec19-12 06:36 AM
matematikuvol
4 811
I am reading the paper http://arxiv.org/abs/hep-th/9701037. In equation (2), the author write the determinat as...
Dec18-12 04:26 AM
scottbekerham
1 1,012
Given a group G acting on a set X we get an equivalence relation R on X by xRy iff x is in the orbit of y. My...
Dec17-12 01:42 PM
Damidami
2 772
Hi, I have a quick question, when should one use RREF in finding eigvenvectors? I've read through some books and...
Dec17-12 08:06 AM
HallsofIvy
2 876
hi if F is inner automorphism , what does this mean ? I think that if F : G to G then we can write F(x) as ...
Dec16-12 04:55 PM
Maths Lover
2 800
So Munkres, on page 424 of Topology (2nd edition) says that "...two free groups are isomorphic if and only if their...
Dec15-12 10:53 PM
mathwonk
9 1,188
Suppose that \textbf{x} = A\textbf{x} + B\dot{\textbf{x}} where \textbf{x} is vector of economic output level, A is...
Dec15-12 10:52 PM
mackenzies
0 672
Suppose we have Asec(x) on the right hand side in a non-homogenous ODE and in a Euler equation. How do we solve it? (...
Dec15-12 07:51 PM
BackEMF
3 906
Im looking through old exams for a course in Cryptography and have beaten my head against the wall for a long time on...
Dec15-12 02:55 PM
johnqwertyful
12 2,219
Suppose it is known that A is singular. Then the system Ax=0 has infinitely many solutions by the Invertible Matrix...
Dec15-12 01:09 PM
Bipolarity
4 1,197

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