Recent content by sayan2009

give anr coutrexmple

Homework Statement show that the polynomial (x-a1)(x-a2)....(x-an)+1 is irreducible in Z[x],where a1,a2,...an are distinct odd integers Homework Equations The Attempt at a Solutiontrying to use eisenstein criterion...but cant

oooooooooooo gr888888888...thanks

Homework Statement given a set A(subset of R(reals)) is bounded.and for all x belongs to R there exists epsilon(eps) such that {(x-eps,x+eps) intersection A} is countable..to prove A is countable Homework Equations The Attempt at a Solution...bdd set in R is totally bounded...but...

r u tryin to use Fourier expansion

please prove this (periodic function) Homework Statement if f is periodic continuous function with period 1 then show there exists x such that f(x+pi)=f(x) Homework Equations The Attempt at a Solution i am trying in this way,considering interval [pi,pi+1],and taking...

oo sorry...i thought it was from [0,1)...lemme think abt it

oo that was 4 post 1 wat abt this?? f(x)=tan(x*pi-pi/2) this is for post 3

f(x)=tan(pi x/2)

is that solution correct man??

so the solution is using v=[1 1 1 1 ... 1] we can easily get Av=2v & Bv=1v then(AB)v=A(Bv)=A(1v)=Av=2v so 2 is an eigen value of AB... is this right solution??

but why should i try to get mean here?i mean i can take v (transpose) as[1 1 1 ... 1](n times) why r u taking [1/n 1/n ... 1/n]?

how to compute (AB)v

please solve this eigen value problem A nd B are matrices of order n*n.now it is given that sum of each row of A is 2 nd that of B is 1...then show that 2 is an eige value of the product matrix AB