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

Feb2313 09:24 AM
micromass

1 
30,541 
How important are linear transformations in linear algebra? In some texts linear transformations are introduced first...

Sep2812 06:40 PM
Fredrik

4 
1,184 
Hi, I have a problem from a textbook on control systems along with the solution, but I'm not certain how the answer...

Sep2412 10:52 AM
The Electrician

7 
1,213 
I'm trying to find if a number is odd or not, basically if X % 2 = 1.
Can this be expressed through some function?...

Sep2512 08:48 AM
Eval

13 
1,988 
I have to prove "For every integer n, n^2 is congruent to exactly one 0,2,or 4mod 7? I don't even know where to start?...

Sep2612 05:17 PM
ramsey2879

17 
2,543 
Find two algebraic numbers (over Q) a and b each of degree 3 such that ab has degree 2.
I have attempted to...

Sep2412 10:04 AM
bessletama

0 
547 
Hi
Can someone please clarify if you are trying to diagonalize a matrix and you find that one of your eigenvalue is...

Sep2412 04:58 PM
HallsofIvy

4 
808 
Prove that the polynomial $$x^{20}2x^{13}+10x^{7}6x^{2}4x+100\in\mathbb{Z}$$ is irreducible or factors into...

Sep2412 09:57 AM
bessletama

0 
538 
Find the general solution to the following system of equations and indicate which variables are free and which are...

Sep2412 09:03 PM
Simon Bridge

1 
804 
u and v are contained in V
Lets say the scalar multiplication is defined as:
ex.
ku=k^2 u or ku =...

Sep2612 10:29 AM
Stephen Tashi

2 
886 
I'm required to diagonalize a 5x5 matrix by hand, using 'appropriate similarity transformations.' I'm not asking for...

Sep2612 05:02 PM
Robert1986

12 
1,646 
Hello,
I am reading a set of lecture notes on lattice QCD:...

Sep2612 09:58 AM
evilcman

0 
487 
I have had absolutely no sleep for a while, so my math brain has been failing me. Last night, I was working on a...

Sep2812 10:03 AM
ramsey2879

9 
1,971 
we know the equation above does not have integer solutions ( Fermat last theorem having been proven few years back )....

Sep2712 07:24 AM
epsi00

1 
1,333 
x / y = z, so z * y = x
1 / 0 = x, so x * 0 = 1
But 0 does not equal 1, so x / 0 is unsolvable.
Oh, and I'm new to...

Sep2912 08:22 AM
ramsey2879

6 
2,154 
I am really confused about something. I know that if I have a vector space, then the dimension of that vector space...

Sep2712 10:09 PM
dumbQuestion

5 
798 
When studying linear algebra when encountering a system Ax=b, I always read of the fundamental subspaces of A: N (the...

Sep2812 07:00 PM
HallsofIvy

2 
839 
The assignment is making use of the property of triangular matrices to find the inverse of a matrix \displaystyle A. ...

Sep2812 07:07 AM
Ask4material

0 
641 
I do not have access to the math calculators.
Δ = 162*(ab)*(a^2b^2)*(a^3b^3) 108*(a^3b^3)*(ab)^3 +...

Sep2812 10:12 PM
epsi00

3 
1,408 
if M is dxd positive semidefinite matrix, then:
M = L'(or L transpose) * L
where L is a matrix of dimensions...

Sep2812 11:51 PM
xponential

0 
554 
Hello,
Let's have a group G and two subgroups A<G and B<G such that the intersection of A and B is trivial.
I...

Sep2912 01:34 PM
mnb96

2 
918 
Every resource I've looked at just lists the axioms but doesn't tell how or why they were arrived at. To what extent...

Sep3012 07:10 PM
Fredrik

5 
1,038 
Say I have two matrices of the form
A = (1 x 6 row vector)
and
B = (1 x 3 row vector). The number of...

Sep3012 08:09 AM
Wolfgang2b

2 
829 
As the title suggests I am working on some general relativity and combinatorics seems to be my everreturning Achilles...

Sep3012 04:57 AM
Funzies

0 
1,515 
What is the field Z_{2}?

Sep3012 09:42 AM
Max.Planck

2 
1,207 
Hello,
I have a subgroup S=\left\langle A \right\rangle generated by the set A, i.e. S=\left\{ a_1 a_2 \ldots a_n...

Oct112 07:33 PM
SteveL27

2 
628 
I'm looking for a determinant formula for a 10 by 10 matrices in variable format.

Sep3012 10:30 PM
The Electrician

10 
1,045 
Dear all,
I have been banging my head on this for a couple of hours with no result yet and given it is a very elegant...

Sep3012 03:43 PM
blue2script

0 
556 
Hello,
Does anybody know about the origin for the "s" variable notation in the Laplace transform? In France, we...

Oct112 08:23 AM
Bourguignon

0 
618 
I was doing a brain treaser where the letters AH had to be put into an array 2 by 4 such that no letter is adjacent...

Oct412 07:08 AM
ramsey2879

3 
1,742 
The problem:
"xy + yz + zx = 12
xyz = 2 + x + y + z
Find a solution of the above simultaneous equations, in...

Oct112 07:08 PM
pwsnafu

2 
1,269 
I am having more than a little fun with this sequence of numbers and am looking for a better algorithm to find the...

Oct312 08:24 PM
ppnl

4 
1,348 
If I have some path in complex plane, and I go from ##z## to ##z'## with single steps ##\alpha=1,i,1,i##.
If I...

Oct112 02:19 PM
LagrangeEuler

0 
494 
In ℝ^{3}, how would I go about proving that two planes are parallel, given their equations? I know what the "word"...

Oct212 04:59 AM
Erland

7 
2,103 
http://timesofindia.indiatimes.com/city/guwahati/Mathematiciansolves270yearoldconjecture/articleshow/16635760.cms...

Oct112 09:45 PM
Greg Bernhardt

3 
2,839 
Hello,
My problem is as follows:
I want to generate a series of 24 dimensional random numbers to act as the starting...

Oct312 02:07 AM
Stephen Tashi

1 
720 
If ##g_l## is number of graphs with ##l## lines where all vertices are even, what is exactly ##D_l##? Definition...

Oct312 02:22 AM
LagrangeEuler

0 
607 
1. Why is the norm of a vector noted by double pipes when it is just the magnitude which is notated by single...

Oct312 05:39 PM
HallsofIvy

6 
1,159 
Why are we interested in looking at the kernel and range (image) of a linear transformation on a linear algebra course?

Oct412 11:30 PM
Sankaku

2 
832 
Is the following statement true? My intuition tells me it is true, but I have been trying to prove it, without much...

Oct412 12:16 AM
micromass

1 
722 
Another vector identity I have been trying to prove. My textbook lists this identity in "properties of cross products"...

Oct412 12:10 AM
micromass

1 
730 