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#1 Help Me ! » group » 2013-05-19 15:25:40

princess snowwhite
Replies: 1

give an example of an infinite group having all elements of finite order.

#3 Help Me ! » order of a cyclick group » 2012-11-28 20:41:50

princess snowwhite
Replies: 1

Which of the following statements is false?
a>any abelian group of order 27 is cyclic
b>any abelian group of order 14 is cyclic
c>any abelian group of order 21 is cyclic
d>any abelian group of order 30 is cyclic

#4 Re: Help Me ! » group » 2012-11-28 16:20:15

I am using multiplication.

#6 Re: Help Me ! » group » 2012-11-28 01:27:19

does anyone know how to solve it?

#7 Help Me ! » group » 2012-11-27 04:57:55

princess snowwhite
Replies: 12

let G be a group of order p^2 where p is a prime no. let x belongs to G. prove that {y belongs to G: xy=yx}=G

#9 Re: Help Me ! » eigen pair by power method » 2012-11-23 04:16:56

I needed the definition and example also

#10 Re: Help Me ! » eigen pair by power method » 2012-11-21 04:46:22

I don't know what is this eigen pair, THAT'S WHY i am asking you

#11 Help Me ! » eigen pair by power method » 2012-11-20 06:34:00

princess snowwhite
Replies: 10

Can anyone tell me how to solve a problem using c program by "eigen pair by power method"?

#12 Re: Help Me ! » value of function » 2012-11-20 05:12:54

so I smile. the set should be infininte

#13 Re: Help Me ! » value of function » 2012-11-20 05:01:03

yes for n=2, [n]=2 but when n=1.6, [n]=1

#14 Re: Help Me ! » value of function » 2012-11-20 04:35:57

I think the set will be infinite. does anyone has anything else in mind?

#15 Re: Help Me ! » matrix » 2012-11-19 21:58:48

Yes It Does Mean That Each Roq Sums To 1

#16 Help Me ! » value of function » 2012-11-19 21:02:23

princess snowwhite
Replies: 6

f(x)= [x] + (x-[x])^2.
where [x] means largest integer not exceeding x.
then find set of all values taken by f

#17 Help Me ! » matrix » 2012-11-19 21:00:09

princess snowwhite
Replies: 8

let P be any n*n square matrix whose row sum equals 1 then for any postive m the row sum of the matrix P^m equals 1 ,state true or false

#19 Re: Help Me ! » linear transformation » 2012-11-14 17:59:29

Ops! Sorry........ Yes I wanted T2(v)= −v

#20 Re: Help Me ! » linear transformation » 2012-11-13 05:40:53

I have no idea about the answer. But the question is correct.

#21 Introductions » hey! » 2012-11-12 07:56:20

princess snowwhite
Replies: 6

hi! I joined this forum few days ago and it seems to be pretty good. Well I am a student currently pursuing higher studies in mathematics. I am here to learn and get some help when I am confused. Nice to meet you all. smile

#22 Help Me ! » another LT probleem » 2012-11-12 07:39:40

princess snowwhite
Replies: 0

let v1 and v2 be non zero vectors in R^n , n>=3, such that v2 is not a scalar multiple of v1, prove that there exists a linear transformation T:R^n-->R^n such that T^3=T, Tv1=v2 and T has at least three distinct eigen values

#23 Help Me ! » a small confusion in LT » 2012-11-12 07:38:38

princess snowwhite
Replies: 1

let T:R^n-->R^n be a LT where n>-2 and for k<=n,
let E={v1,v2,....,vk} and F={Tv1,Tv2,.....,Tvk}.
a>if E is LI then F is LI
b>if F is LI then E is LI
c>if F is LI then E is LD
d>if E is LI then F is LD

here i think the answer will be b.
let F be LI and E be LD. then c1v1+....+civi+....+ckvk= 0 where ci not equals to zero. then T( c1v1+....+civi+....+ckvk)= T(0)=0
or c1Tv1+...+ciTvi+....+ckTvk=0 where ci is non zero wich contradicts that F is LI, hence E must be LI

#24 Help Me ! » dimension of a subspace » 2012-11-12 07:36:32

princess snowwhite
Replies: 1

let V be a vector space of all polynomials with real coefficients with degree at most n where n>=2, consider the elements of V as a function from R to R. define W={p belongs to V∫egration 0 to 1 p(x) dx=0} , show thar W is a subspace of V and dim W= n.
I have proved that W is a subspace but couldnot prove that din W= n roll

#25 Help Me ! » linear transformation » 2012-11-12 07:34:42

princess snowwhite
Replies: 4

let V be a real n-dimensional vector space and let T:V-->V be a LT saisfying T(v)= - v for all v belongs to V.
1. show n is even
2.use T to make V into a cmplex vector space such that the multiplication by complex numbers extends the multiplications by real numbers
3. show that with respect to complex vector space structure on V obtained in 2. , T is a complex linear transformation

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