Please post any and all homework or other textbookstyle problems in one of the Homework & Coursework Questions...

Feb2313 09:24 AM
micromass

1 
30,460 
Hi, :)
I have some basic knowledge of matrices and vectors. mI understand some of their practical applications in...

Jun511 09:26 PM
mathwonk

4 
4,233 
To simplify this inquiry let us deal with R2. I know that if you have the identity matrix (let that be A), then AA=A....

Jun511 04:57 PM
NaturePaper

9 
2,011 
I'm having trouble showing that any normal linear transformation T is the sum of a selfadjoint transformation T1 and...

Jun511 03:54 PM
Alupsaiu

2 
1,862 
I have encountered a straightforward but strange problem. I know that a discrete time system x(t) in R^6 evolves...

Jun511 03:30 PM
tipusalman87

0 
1,042 
I apologize for my lack of knowledge on the topic.
I recently started writing programs to solve Project Euler...

Jun511 11:44 AM
marcuss421

7 
2,150 
If I have an Ralgebra A where R is a ring, why the center of the endomorphism algebra E_{A}(A) is the algebra of...

Jun511 10:26 AM
yavanna

0 
509 
how to prove that
R(A)=\text{sum of} N(A\lambda I)?
\lambda is nonzero eignevalues of A

Jun511 08:08 AM
micromass

4 
1,078 
let B be a matrix formed by deleting nr rows and nr columns from A. Why is the singular values of B smaller than...

Jun511 07:54 AM
td21

0 
523 
Let K be a field of characteristic p.
Suppose f(x)=(xk+ck1xk1+...+c0)(xpk+.........) in K with 1≤k≤p1.
My...

Jun511 04:15 AM
rukawakaede

5 
896 
Hello,
today I was thinking the following: it is known that Clifford Algebras provide a general framework to...

Jun411 11:31 AM
mnb96

0 
642 
Hello,
I have a row vector defined as,
X=\{x_1,x_2,\ldots,x_L\}
I wish to "stack" this vector vertically, a...

Jun311 10:07 PM
hadron23

2 
1,653 
I've been trying to prove this using rigorous methods, without much success. I've been able to express as a binomial...

Jun311 03:39 PM
Bipolarity

0 
1,551 
I am following a proof in the text "Algebras of Linear Transformations" and having problem justifying this line: ... M...

Jun311 01:05 PM
arthurhenry

3 
1,547 
Can a sequence of integers from 1 to N be rearranged so that no two neighbors retain their original adjacency?

Jun311 12:07 PM
dodo

3 
1,301 
Can somebody please explain to me what is the wellordering theorem in layman's terms. After looking at the...

Jun211 07:16 PM
SteveL27

19 
7,817 
scratch that.
is 5606701775893 a prime number?

Jun111 09:10 PM
ramsey2879

19 
5,577 
T is a linear operator from the space of 2 by 2 matrices over the complex plane to the complex plane, that is
T:...

May3111 12:16 PM
HallsofIvy

2 
3,355 
I am having trouble understanding the definition of a group C*algebra, i.e. take a group algebra of a group G and...

May3111 08:59 AM
Monocles

11 
1,586 
How would I go about finding the fraction field of Z?

May3111 07:53 AM
micromass

13 
1,123 
It is a well known fact that a symmetric bilinear form B on a finitedimensional vector space V over any field F of...

May3111 05:47 AM
henry_m

4 
1,686 
is there relation between the adjoint (as in conjugate transpose) and the adjoint of a matrix(each entry replaced by...

May3111 02:10 AM
Simon_Tyler

1 
1,765 
It's my understanding that algebraic numbers are the roots of polynomials with rational (or equivalently integer)...

May3011 08:35 PM
pwsnafu

2 
1,671 
Im looking for a method of evaluating large logs without the use of a calculator, such as,
log102750.
Using...

May3011 12:33 PM
robert2734

18 
3,177 
Hi there,
I have 23D subspace, defined by an equation (hyperplane)
c1*x1 + ... + c24*x24 = 0;
I wonder if there...

May2911 06:15 PM
micromass

6 
1,370 
for a matrix similar to itself:
A=SAS^{1}
A is nonzero and not identity.
So is the matrix S must be identity...

May2911 10:56 AM
micromass

3 
732 
I have a question about mappings that go from a vector space to the dual space, the
notation is quite strange.
A...

May2811 01:24 PM
sponsoredwalk

8 
2,305 
Hi, I know how to calculate matrices determinants but I never figured out why they're so useful in many problems, like...

May2811 04:33 AM
Tosh5457

5 
1,195 
Could anybody help me find a one line function to calculate the remainder of a number when it is divided by 4
For...

May2611 09:47 AM
jbunniii

16 
2,580 
Can a square matrix with a column of all zero's be invertible?

May2611 09:10 AM
HallsofIvy

7 
2,406 
Dear Friends & Colleagues,
I have a couple of nagging issues with mathematics I was hoping any one of you would...

May2511 09:40 PM
PoomjaiN

1 
1,119 
Hi,
Can anyone help me prove that two commuting matrices can be simultaneously diagonalized? I can prove the case...

May2511 03:00 PM
McLaren Rulez

6 
1,956 
Note: I have never formally studied number theory so what I'm about to ask may be either completely trivial or...

May2511 12:24 PM
Newtime

7 
2,135 
According to Wikipedia, the Zeta Riemann Function is defined as follows:
\begin{equation}
\zeta(z) =...

May2511 02:55 AM
RamaWolf

1 
1,957 
Is there any method to show that their are infinitley many prime numbers?

May2511 01:49 AM
Borek

6 
1,267 
Dear Friends & Colleagues,
I have a couple of nagging issues with mathematics I was hoping any one of you would...

May2511 12:36 AM
PoomjaiN

0 
422 
I am using Axler's Linear Algebra Done Right as a text for independent study of linear algebra. Axler basically...

May2311 12:40 PM
Studiot

4 
1,411 
Hello everyone, I'm new to PF, so I hope this post is in the correct location.
Anyway, does anyone know why one...

May2211 11:28 AM
tinytim

2 
1,557 
In the situation where differences between consecutive squares, (or consecutive cubes, consecutive x^4, etc.) are...

May2211 04:47 AM
jmh2o

3 
2,427 
intP(x)Q(x)dx P,Q\inS
verify that this is an inner product.

May2111 11:42 AM
henry_m

5 
1,549 
Hi everyone
I have a little problem in understanding the trasformation of vectors component when passing to a...

May2111 11:33 AM
lennyleonard

10 
1,401 