Recent content by Seb97

Homework Statement Let G(*) be a group. If x.y are elements of G show that (x*y*z^-1)^-1 = x*y^-1*x^-1 Homework Equations The Attempt at a Solution I first took the left side of the equation and computed the inverse and I got x^-1*y^-1*z I then let this equal to the righthand...

It was due for today but I got the right answer the way I did it I checked with a few people and they all have done it your way. Altough my way is correct its a bit impractical. In the first part you have below. I understand all the stuff you have written the only bit I can't get is how you...

Hi thanks for the reply. Ah I am not sure if i compute it the same way as you do. The way I do it is take the 2 cycles at the end to begin with 1 2 3 4 5 6 7 8 9 10) (1 2 3 4 5 6 7 8 9 10 7 2 3 4 5 6 1 8 9 10) (1 2 6 4 5 3 7 8 9 10 thats what you need to write before you ever need to start...

Homework Statement [I] need to compute this permutation in S10 (4 2 1)(5 4 9 10)(2 3 4)(7 1)(3 6) Homework Equations The Attempt at a Solution I can compute it when i put it into 2 rows eg 1 2 3 4 5 6 7 8 9 10 4 1 3 2 5 6 7 8 9 10 that's equal to ( 4 2 1) but doing this out with the above...

Ah your welcome. Its actually not that bad. I haven't really covered it but if you have any futher questions don't hesitate to ask. If you look on you tube they might have something on continuity. It would be much more helpful seeing someone go through it rather than reading from some black and...

Hi Mark44 Thanks a million your a legend. I can now go to sleep tonight. Thanks again

Hi Mark44 How would you prove that the rank of the matrix would be zero because if I can do that then it would be proved wouldn't it??

No that's precisely what the question says. I was hoping for a different view on it. Now I am really confused because I taught the inverses had something to do with it. What do you is the right approach or what would you do?

Hi Hallowon Is the first part not x+3, and x not eual to 3? YA To say that g(x) is continuous at y=3 is to say that lim as x goes to 3 = f(3) In our case the left hand side is equal to x + 3= 3+ 3=6 while the right hand side is equal to 2 + rootk but this must equal the left hand side for...

Homework Statement For an n x n-matrix A we have A^N = 0 for some N. Prove that A^n = 0. Homework Equations The Attempt at a Solution I took the inverse of A^n and multiplied across by it. and I got the Identity equal to zero. But that can't happen. Any help would be much...

Ah its cool. I managed to work it out. And I am pretty convinced that it works. Thanks anyway appreciate it.

Homework Statement If f is differentiable in an interval I and f' >0 throughout I, except possibly at a single point where f' >=0 then f is stictly incresing on I Homework Equations The Attempt at a Solution Ok what I have is I let f'(x) >0. I let a and b two points in the...

Hey mg0stisha Thank you for the reply. It was quite helpful and thank you for not providing me with the full solution. I think I got cheers

Hi mg0stisha Ya I am pretty sure we touched on it but I was convinced I had to use the chain rule to solve this.

Homework Statement Find f', where f(x) = 1+x^2)^(x^2) Homework Equations The Attempt at a Solution I attempted the question using the chain rule but I was told that you do not use the. That your meant to use logs. But I have no idea where to begin. Any help or tips would be much...