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

Feb2313 09:24 AM
micromass

1 
33,911 
How to detect redundant equation from a system of nonlinear equation?
It means how to find out a system of nonlinear...

May2612 06:02 AM
algebrat

3 
2,583 
Are there any nice applications of the Cayley Hamilton Theorem. I am looking for a real life application which would...

Jun2212 02:08 AM
marygoss

3 
11,173 
Consider the space of all polynomials in n variables of degree at most d. The dimension of that space is C(n+d,d). How...

Jul1512 06:29 AM
chiro

3 
2,439 
I am wondering how to organise all of those concepts in my head.
should i think of it like:
subspace > vectorspace...

May2612 08:12 AM
algebrat

3 
1,502 
Hi:
I am a newbie to linear algebra; I have a problem about
vector space and subspaces. How to distinguish these...

May1712 05:44 PM
applechu

3 
1,024 
Hello,
The formulation of the question says:
Show, using congruences and disjunction of cases, which,for all...

May1712 08:09 PM
ramsey2879

3 
2,149 
Is it correct to say that any order 4 group is only isomorphic to either
C4 or C2+C2 ?
where C4 is the order 4...

May2312 03:10 PM
lpetrich

3 
1,713 
There is a difference between the multiplication op in the Field of Reals and the Scaling op in the Set of Vectors. In...

May2312 04:57 PM
SteveL27

3 
1,402 
good day! i need to prove that the alternating group An is a normal subgroup of symmetric group, Sn, and i just want...

May2612 07:34 PM
haruspex

3 
1,156 
I'm doing a particular form of regression that gives a eigenvector and matrix for the solution. I'm using two matrix...

May3112 08:51 PM
chiro

3 
1,250 
Ok, to start off I have been examining the structure of polynomials. For instance, consider the general polynomial
...

Jun112 02:38 PM
galoisjr

3 
1,234 
i'm trying to find a version of PARI or PARI/GP or a comparable number theory program that will run on my MacBook Pro....

Jun1612 01:19 AM
TylerH

3 
2,119 
What is the LaTex and infinite sum for 121/2+31/241/2+51/2 . . .
Does it converge anyway?
I am too old for...

Jun512 04:16 AM
Xitami

3 
2,137 
Show that a rotation by θ followed by a rotation by φ can be expressed as either
two consecutive rotations, or one...

Jun1312 03:47 PM
HallsofIvy

3 
1,266 
Is there such a thing as a "feral polynomial" ? Saw it mentioned on an Internet forum where someone claimed to be...

Jun1612 11:52 AM
HallsofIvy

3 
964 
Here's a question. Pi is said to be the ratio of a circle's circumference to its diameter. If this is the case, what...

Jun2112 08:23 PM
SteveL27

3 
2,248 
I'm reading through a multivariable calculus book and it starts off with some linear algebra. It defines vector...

Jun2312 07:29 PM
jcsd

3 
1,398 
Exercise #17 in Linear Algebra done right is to prove that the dimension of the direct sum of subspaces of V is equal...

Jun2512 01:02 PM
DonAntonio

3 
1,357 
Hello,
I am looking at the proof (Theorem 2.5 (b) Apostol) of $$ \phi (mn) = \phi(m) \phi(n) \frac{d}{\phi(d)} $$...

Jun2812 06:03 PM
DonAntonio

3 
1,745 
Assume u:R\rightarrow C^n and define shift operator S(\tau) with
S(\tau)u(t)=u(t\tau)
and truncation operator...

Jul112 02:58 AM
Einj

3 
902 
Proposition:
\sum_{i=0}^{p1} (\frac{i^2+a}{p})=1 for any odd prime p and any integer a. (I am referring to the...

Jul212 04:21 PM
DonAntonio

3 
1,638 
I have a large real symmetric square matrix (with millions of rows/columns). How can I identify the sets of rows that...

Jul1812 10:26 AM
Big Data Alan

3 
1,732 
Disclaimer: Sorry if this question is offtopic, I really don't yet know where it "belongs".
I wrote a program that...

Jul712 03:22 PM
matthew180

3 
1,283 
For approximately the last two years, I have been working off and on for a proof of whether Brocard's problem was...

Jul912 02:25 PM
Millennial

3 
2,449 
Can someone please explain why 80 mod (11) is 8…? Why isn’t it 3?
b = aq + r
80 = (11)q + r
80 = (11)(7) + 3...

Jul1512 08:25 AM
HallsofIvy

3 
1,642 
I'm selfstudying representation theory for finite groups using "Group Theory and Quantum Mechanics" by Michael...

Jul1912 04:27 PM
LastOneStanding

3 
1,152 
Say we complex structure J on a space with even dimension. Is there a trick to finding another complex stucture I that...

Jul2412 09:04 PM
Ben Niehoff

3 
961 
Def: A low discrepancy sequence is a uniformly distributed sequence with minimal discrepancy, O(logN/N).
Question:...

Aug212 03:26 PM
mehr1methanol

3 
1,380 
Suppose that we have a crossproduct of vectors.
a × b = c
Now suppose that we have an orthogonal matrix M. Is...

Jul2312 07:16 PM
micromass

3 
1,817 
Say I have a system of equations of the following form:
a_1 A^2 + b_1 B^2 + c_1 C^2 + d_1 = f_1
a_2 A^2 + b_2 B^2...

Jul2712 06:56 AM
HallsofIvy

3 
851 
Assume P is a symmetric positivedefinite matrix,
and S to be a diagonal matrix with all its diagonal elements being...

Aug112 02:26 AM
chiro

3 
1,204 
I am having trouble understanding the permutations of a finite set in general. I want to know what it may be used for,...

Aug312 01:59 PM
marschmellow

3 
1,120 
Hello everyone, this nxn matrix arises in my numerical scheme for solving a diffusion PDE.
M =...

Aug112 09:09 AM
Jonnyb302

3 
888 
Let us take the most mainstream irrational out there, (Pi).
Now write (Pi) as:
3.
14159265...
Let us number...

Aug512 07:34 AM
mfb

3 
1,783 
This is very weird, but I found an inconsistency in the application of Cramer's Rule for a 3x3 simple linear matrix. ...

Aug1012 10:03 AM
DonAntonio

3 
1,019 
Suppose we have a finite dimensional inner product space V over the field F. We can define a map from V to F...

Aug1112 08:13 PM
dEdt

3 
1,215 
The isomorphism of ℝ5 and P4 is obvious for the "standard" inner product space.
The following question arise from...

Aug1812 09:58 PM
chiro

3 
1,039 
Can any one clarify the concepts of zero vector and zero scalar?
Devanand T

Aug1812 10:13 AM
Fredrik

3 
2,248 
Hello fellas.
I have this formula that encodes data:
OUTPUT = (Data * 7) + (Data * 2) + 8
So in this case, if...

Aug1412 06:11 AM
chiro

3 
793 
Let p be a prime. Let H_{i}, i=1,...,n be normal subgroups of a finite group G. I want to prove the following:
If...

Aug1612 10:10 PM
moont14263

3 
1,139 