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

Feb2313 09:24 AM
micromass

1 
35,917 
Hi All, In Ken Onos lecture he mentions Hausdorff dimensions appertaining to prime numbers:
5,7,11 relate to 0...

Jun811 06:11 PM
chis

8 
2,819 
What interpretation could the eigenvectors in a graph have? By graph I mean an adjaceny matrix not counting...

Jun1311 08:11 PM
Ackbeet

1 
1,696 
I have a matrix A, which contains only positive real elements. A is a differentiable function of t.
Are the...

Jun811 12:24 PM
Leo321

11 
2,306 
Here's a nice problem: Prove that
\frac{k!}{k^k} \leq \frac{(kj)!}{(kj)^{kj}} \frac{j!}{j^j}
for all...

Jun711 11:02 AM
JSuarez

11 
2,617 
Hi,
What is the geometric interpretation of the GramSchmidt orthonormalization process? I mean, you will find...

Jun911 12:04 PM
zcd

5 
1,586 
For any natural number a and b, with b > 1, two natural numbers x and y can always be found such that b^x  b^y is...

Jun1311 01:10 AM
marshmellow

5 
2,471 
I'm having difficulty understanding the concepts presented in the following question.
I'm given a matrix,
, which...

Jun811 03:55 PM
HallsofIvy

3 
2,156 
Greetings. This is my first post, please be gentle!
I am a music theorist who uses a lot of math in my...

Jun611 07:33 PM
tuttlerice

2 
1,603 
Suppose I have a MxN matrix and each column may contain exactly 1 zero or
no zeros. Is there a transformation that...

Jun611 07:34 PM
taknevski

0 
915 
I want to see if the matrix w = (1,0;0,1) is a linear combination of the matrices
v1 = (1,2;2,1) and v2 =...

Jun611 09:00 PM
mitch_1211

4 
4,989 
I know this question has been asked here many times before but perhaps you can give me some tailored help. I am trying...

Jun611 09:51 PM
cap'n ahab

0 
1,291 
Suppose N is a 2x2 complex matrix such that N^2=0. Prove that either N=0 or N is similar over C to the matrix
00...

Jun711 07:36 PM
zcd

3 
1,533 
Hi,
Is every matrix similar to a triangular matrix? If it is, anyone have an idea how to prove it?
Thanks

Jun1311 03:37 AM
td21

3 
1,301 
I've got something like
u + LuL^T = v
and I want to write it like
u = B_1 v B_2
for some B_1 and B_2. Assume L...

Jun711 04:09 AM
Petr Mugver

1 
1,315 
I discovered a link between my series formulation, see below, and RNA molecule structure, In particular the RNA...

Jun711 05:49 AM
ramsey2879

0 
961 
If v is in Rn and is an eigenvector of matrix A, and P is an invertible matrix, how would you go about finding an...

Jun811 09:28 AM
HallsofIvy

4 
2,713 
hey i want to find out if the set
s = {t22t , t3+8 , t3t2 , t24} spans P3
For vectors, i would setup a matrix...

Jun811 06:16 PM
mitch_1211

6 
3,776 
Hi,
I was wondering why the latest theories about physics are about group theory and linear algebra. Maybe i don't...

Jun811 12:06 PM
mathkungfu

0 
454 
Let p be a prime number and d / p1 .
Then which of the following statements about the congruence?
x ^d = 1( mod...

Jun811 04:04 PM
Bhatia

6 
1,717 
hey i have the set
s = {(t,1,1),(1,t,1),(1,1,t)} and i want to find for which values of t this set is linearly...

Jun911 06:15 PM
mitch_1211

8 
2,805 
I have two systems of linear differential equations: \frac{dx}{dt}=Ax, \frac{dy}{dt}=By
x,y are vectors of length n...

Jun1011 06:00 PM
Leo321

2 
791 
* I have already posted this in the General Math, but I guess the problem is more like a linear algebra problem.
...

Jun911 04:41 AM
samuelandjw

2 
1,034 

Jun911 03:05 AM
algorhythmic

0 
1,344 
Is it possible for a variable to exit the basis and after a couple of iterations, enter it again? Are there any...

Jun911 09:31 AM
arthurav

0 
496 
Arg\xi (1/2+iz)
however i am a bit ashamed because the Riemann Xi function is real for real 'z' so for ALL the...

Jun1111 04:35 PM
zetafunction

2 
1,782 
How to prove that two reciprocal basis are either both right ended or both lefthanded? If (e_1,e_2,e_3) and...

Jun1111 04:21 PM
feynman137

1 
784 
Hi, All:
I have seen Orthogonal groups defined in relation to a pair (V,q) , where V is
a vector space , and q...

Jun1011 09:11 PM
Bacle

0 
487 
With normal vectors i usually check there is the correct number of vectors i.e 3 for R3 2 for R2 etc and then just...

Jun1211 07:11 AM
HallsofIvy

10 
2,158 
polynomial?
i find this but i do not understand;its too complex.
...

Jun1111 07:16 AM
feynman137

2 
2,397 
Hi,
I have this problem,
1) Find 1 + 2 + · · · + n by summing the identity (m + 1)2 − m2 = 2m + 1 from m = 1 to...

Jun1211 10:31 PM
bluemoon2188

2 
1,879 
Suppose that the set of functions \{P^a:\mathcal S\rightarrow \mathcal L\,a\in \mathcal L\} has the property that for...

Jun1111 07:26 PM
Fredrik

2 
666 
does multiplying the invertible matrix A to the basis {X1,X2,X3..Xn} create a new basis; {AX1,AX2,Ax3..AXn}? where Xn...

Jun1311 02:48 AM
mitch_1211

4 
1,802 
Hey everyone,
Not sure if this is the right section to post this in, but makes the most sense to me so here goes.
...

Jun1111 10:52 PM
Xian

0 
1,222 
Hi, I'm currently doing a project and this topic has come up. Are there any known famous classes of polynomials...

Jun1211 01:18 PM
burritoloco

8 
1,295 
\lambda_i(AB)\leq\lambda_i(A)\lambda_i(B)?
\lambda_i(A+B)\leq\lambda_i(A)+\lambda_i(B)?...

Jun1311 02:10 AM
td21

0 
687 
lets assume the matrix multiplication AB exists, how would i prove that the column space of AB is contained in the...

Jun1311 03:01 AM
td21

3 
4,306 
For two matrices A and B, when p(A)=0 iff p(B)=0 for any polynomial, what will happen? i read that A and B have the...

Jun1311 02:13 PM
HallsofIvy

2 
1,274 
Hi!
Q is postive definite
A is any matrix.
Why Q^{1}AQ^{1} is hermitian??

Jun1311 04:17 AM
dragonlorder

1 
655 
If S^{1}BS=A, can we always find Q ,such that Q^{1}BQ=A? Q different form S and no scalar multiple of S.
If not,...

Jun1311 05:54 AM
henry_m

1 
683 
Hi folks. This is something I've been wondering about for a while now. Is there a reason why taking the minimum norm...

Jun1311 10:23 AM
HallsofIvy

1 
830 