Hello
Just wondering if I'm on the right track for question 1

the equations given are

f(t+1) = pa(t)
m(t+1) = f(t) + qa(t)
a(t+1) = m(t) + (1-p-q)a(t)

which leads to...

f(t+1) = pa
m(t+1) = pa + qa
a(t+1) = pa + qa + (1-p-q)a

which can be written as a lower diagonal matrix

1 0 0
1 1 0
1 1 1

multiplied by the initial state

0
0
13,200

...
which seems to easy to be true
so..
I'm guessing I'm doing something wrong

can someone please please please help me out

Question 1? Are you sure that's Q1?

yeah o__o is it that off?

I think part of the problem is that you're replacing f(t) with f(t+1), etc. You can't do that.

can I please get some sort of hint on what to do?

Okay, so you want to have f(t+1), m(t+1), a(t+1) in a column matrix. Replace these three with the right sides of those 3 equations you listed first. In order to get this, you need to multiply "A" by the column matrix composed of f(t), m(t), a(t). "A" will be a 3x3 matrix. So, to start off, to get ap(t), you would have to do matrix multiplication of the first row of A and the column matrix. You now just have to figure out what values the first row of A has to take on to get this. Do the same for the other two rows for m(t+1) and a(t+1).

Oh man, this is so hard to explain. I don't think I'm making any sense. I'm sorry. I hope at least something in the above paragraph makes it click for you.

The diagonal matrix threw me off. O__O I don't remember getting that. Now I'm worried mine might be wrong...heh.

You're pretty much supposed to get A in terms of p and q.

Originally Posted by Faer

The diagonal matrix threw me off. O__O I don't remember getting that. Now I'm worried mine might be wrong...heh.

You're pretty much supposed to get A in terms of p and q.

^Yeah. Go with that.

Here you go

http://imageshack.us/f/254/hereyougo.png/

Originally Posted by Differential

Here you go

http://imageshack.us/f/254/hereyougo.png/

Woohoo~ I got the same thing



Does anyone know how to do question 5? I'm a little lost as to where to start .. .

Ah, yes, Q5. .__.

EDIT: All I've done so far is use lamda = 1 and sub it in to find the general eigenvector (that's the one, right?) Not sure if that's right..

Open textbook, go to Chapter 10.5 and find example 8. Bingo and u r done

What are these "projects"? We only had to do those easy assignments on WileyPlus when I took 1b03

We have that, too. xD

Projects - a bi-termly (is that a word?) occurrence consisting of 8-11 questions based on a particular scenario, modelling what we have been learning in class. Allows the use of computers, so YAY.

Originally Posted by Differential

Here you go

http://imageshack.us/f/254/hereyougo.png/

how.. did you get that o_o