You are Here: Home >< Maths

# Simple Affine Map Q Watch

1. I dunno if I'm being really stupid, but I can't see how to get a solution given.

Consider the affine map given by:

Show the solution is given by:

The solution says to just make sure it satisfies the affine map, with the first line as:

I can't see where that came from. Thanks!
2. You could treat it as a second order difference equation and solve it I think,

i.e solve for

Wait just sub the solution in and show it satisfies the equation

if then what does ? (just replace the ns for n+1s)
3. (Original post by TheJ0ker)
You could treat it as a second order difference equation and solve it I think,

i.e solve for

Wait just sub the solution in and show it satisfies the equation
I thought I was going down the wrong road with that as I just got

I wasn't sure where to go from there.
4. (Original post by Brit_Miller)
I thought I was going down the wrong road with that as I just got

I wasn't sure where to go from there.
Yeah now sub that into the original equation, you have an expression for x_(n+1) and x_n so see if they satisfy the affine map, if it does x_n must be a solution
5. (Original post by TheJ0ker)
Yeah now sub that into the original equation, you have an expression for x_(n+1) and x_n so see if they satisfy the affine map, if it does x_n must be a solution
Ohh, I see. Thanks!

TSR Support Team

We have a brilliant team of more than 60 Support Team members looking after discussions on The Student Room, helping to make it a fun, safe and useful place to hang out.

This forum is supported by:
Updated: April 18, 2013
Today on TSR

### Does race play a role in Oxbridge admissions?

Or does it play no part?

### The worst opinion about food you'll ever hear

Discussions on TSR

• Latest
• ## See more of what you like on The Student Room

You can personalise what you see on TSR. Tell us a little about yourself to get started.

• Poll
Useful resources

### Maths Forum posting guidelines

Not sure where to post? Read the updated guidelines here

### How to use LaTex

Writing equations the easy way

### Study habits of A* students

Top tips from students who have already aced their exams

## Groups associated with this forum:

View associated groups
Discussions on TSR

• Latest
• ## See more of what you like on The Student Room

You can personalise what you see on TSR. Tell us a little about yourself to get started.

• The Student Room, Get Revising and Marked by Teachers are trading names of The Student Room Group Ltd.

Register Number: 04666380 (England and Wales), VAT No. 806 8067 22 Registered Office: International House, Queens Road, Brighton, BN1 3XE

Reputation gems: You get these gems as you gain rep from other members for making good contributions and giving helpful advice.