Question

Find the centralizers of the elements x and y in the dihedral group D4.

Please explain the working for this too - I am seeing mixed answers online and don't really understand how to compute them.

Answer #1

try to understand the table, definitely you will get all answer easily. ..

Find all elements of order 2 in the dihedral group D4.

Can anyone please explain how to find the range of the
below?
Not just the answer as that is already posted online but I do
not understand how to even get started????
(h)
Let A = {1, 2, 3}. f: A × A → Z×Z, where f(x,y) = (y, x).

Solve the 2nd Order
Differential Equation using METHOD OF REDUCTION
Please don't skip
steps!
(x-1)y"-xy'+y=0 x>1
y1(x)=x
My professor is
getting y2(x)=e^x and I don't understand how!

A subset of a power set.
(a)
Let X = {a, b, c, d}. What is { A: A ∈ P(X) and |A| = 2 }?
comment: Please give a clear explanation to what this
set builder notation translate to? Because I've checked the answer
for a) and it is A= {{a,b}, {a,c}, {a,d}, {b,c}, {b,d},
{c,d}}.
I don't understand because the
cardinality of A has to be 2 right? Meanwhile, the answer is
basically saying there's 6 elements. So...

Consider the transformation T: R2 -> R3 defined by
T(x,y) = (x-y,x+y,x+2y)
Answer the Following
a)Find the Standard Matrix A for the linear transformation
b)Find T([1
-2])
c) determine if c = [0 is in the range of the transformation
T
2
3]
Please explain as much as possible this is a test question that
I got no points on. Now studying for the final and trying to
understand past test questions.

let g be a group. Call an isomorphism from G to itself a self
similarity of G.
a) show that for any g ∈ G, the map cg :
G-> G defined by cg(x)=g^(-1)xg is a self similarity
group
b) If G is cyclic with generator a, and sigma is a self
similarity of G, prove that sigma(a) is a generator of G
c) How many self-similarities does Z have? How many self
similarities does Zn have? How many self-similarities...

Find the orthogonal trajectories of the given family of
curves.
-------------------------------------------------
3.1:
8. y = ec1x
22. y = ln ( tan x +
c1)
I have the answers but my
issue is UNDERSTANDING how these problems are done and in the order
they are supposed to be done in.
Please, please show steps and
directions and explanations. A formula to follow. I am genuinly
trying to learn.

sketch the slope field and some representative solution curves
for the given differential equation y′ =x+y
Please explain I would like to understand the concept please not
just the answer.
per the solution book, I dont understand why the solution after
the table uts y=-x+1 and after fiferentiate how is the answer 1+x+y
and why do we integrate at the end
thank you!

If X and Y are discrete topological spaces, how do I prove X x Y
is also discrete?
How would I prove the converse is true, could I ? Very interested.
Please explain.
Like to please break down into steps that would make sense. Not
sure if I have to use facts of product topology and discrete
topology and how to use them.

Find the p(x) with a degree of 3 that has intercept in y, being
y=3, 1 and i are complex zeros of this p(x). Explain step
by step, please.

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