Recent content by stihl29

I'm working on the same problem, to show P(k+1) I set it up the same way but then we can use our inductive hypothesis (1+x)^(k+1) >= (1+kx+(1/2)*k(k-1)*x^2)(1+x) My question is, I've wrestled with the algebra for a little while now and for some reason in my notes i had P(K) set to...

is it that there is some factor times b that makes a=b?

kb must be bigger than ka?

i need to show for that for a polynomial in say, z mod m the characteristic is m, meaning 1+1+1... (n-summations)

do you mean a^3 divides b^2? if so then, b would be larger than a?

yes i agree with what you are saying here.

two things, how should i show a prime p, divides a ex. (p=2^e1 *3^e2 *5^e3...) = a*q?, q is an integer And why do i need to show that it is less than or equal to the number of times p divides b?

Let R be a commutative ring. Show that the characteristic or R[x] is the same as the characteristic of R. I'm really not sure where to start on this at all. I'm not sure what is ment by R.

Let a, b be integers a,b>0 show that if a^3 | b^2 then a|b (Consider the prime factorization of a and b) I've tried setting up generic prime factorization of a and b but then don't get any where, I'm not very strong at this subject. Any kind of hints / where to start would help a lot...

Let G be a group. Show (xy)^{-1} = x^{-1}y^{-1} for all x, g \in G if and only if G is abelian. Homework Equations The Attempt at a Solution

I don't remember ever learning that, sorry for being clueless, but i don't see the relation. OH, maybe since det A is the product of eigenvalues, and because 1 or -1 is the only number ^-1 that stays the same ? is that right?

Homework Statement Prove all eigenvalues = 1 or -1 when A is circulant and satisfying A=A^T=A^-1 I can think of an example, the identity matrix, but i can't think of a general case or how to set up a general case. Homework Equations The Attempt at a Solution I can only show by...

Hi, i need to pass a function in MATLAB a few parameters, one of the parameters is an equation such as : sin(x)-cos(y) and have it make the 3d graph, i have no problem setting up the meshgrid etc and getting it to work running strait from the m-file function graph = graph(f) n=20; x =...

i have this code A = [2 -2;-2 -1]; A=orth(A); B=inv(A); if A==B disp('match'); else disp('no match'); end they are the same, but i always get the output 'no match' any ideas?

yea i looked up the the reasons, thanks a ton guys.