matrices assignment

work.provider

2014.__matrices_di.pdf

Home >Mathematics homework help >matrices assignment

YR 1

PAR

Tran time corp part

Ther

Thei coun

EXP

Use

SCEN 1.

RT A ‐ TRANS

nsition matri e. They can b porations to ticular custom

re are curren

ir locations a ntries. The c

 75% of

 40% of

LORATION

matrix meth

NARIOS

Use the initi Your person

Determine / percentage p Find the new below.

a. One cam refle

b. Crea refle and

c. Crea mat stay cond

SITION MATR

ces show pro be used as a help sell the mer base.

ntly two neig

are to be dec urrent flow o

migrants at

hods to inves

al populatio nal numbers

/ Discuss othe population o

w steady stat

e of the coun mpaign. Show ect this.

ate a transiti ects people t describe fro

ate transition trix reflects c y in their curr dition to the

RICES

obabilities of powerful too ir products o

ghbouring co

cided by you of migrants i

country A in

country B in

stigate the fo

n percentage are at the en

er ‘original s or they are fa

tes of the fol

tries mounte w how your t

on matrix th that will rare om the origin

n matrix that customers th rent location steady state

MATRICES

f events cha ol by market or to strateg

ountries: ‘A’ a

. Each year t is:

ntended to st

tended to tr

ollowing fou

e given to de nd.

ituations’, lik airly equal. Y

llowing trans

ed a strong t transition ma

hat is very loy ely move from nal condition

t is very chao hat always ch n. Graph and e outcome.

nging over ting ise to a

and ‘B’.

there is migr

tay there the

avel to Coun

r scenarios.

etermine the

ke if the othe You can decid

sition matric

tourism adve atrix will cha

yal. A loyal tr m their curre n to the stead

otic. A chaot hange their m describe fro

ation betwee

following ye

ntry A the foll

e new steady

er country ha de on the alte

es based on

ertising nge to

ransition ma ent location. dy state outc

ic transition mind, very fe om the origin

FOL

en these

ear.

llowing year.

y state outco

ad a greater ernative leve

the changes

atrix Graph come.

ew nal

LIO 2

ome.

els.

A third coun two countrie

 Cou awa they

 Out Determine t

The reasons migrants an Your first ‘ev a transition

 A na  A wa  A ‘w  A dis  The  Som

Support you connected.

ntry C has en es have start

ntry C has a ay from the o y seem to ha

of the 3000

the steady st

s people migr d from the li vent’ will occ matrix that r

atural disaste

ar has broke

well known’ c

sease in coun

government

me other poss

ur multiple st

tered the mi ted fighting a

slight chanc other two cou ve a greates

migrants sur

ate outcome

rate change st below cho cur at year 5 reflects the s

er has occurr

en out betwe

company has

ntry B has br

t has given a

sibility

teady state c

igration rela against each

ce to take mig untries but if st chance of t

rveyed curre

all the time. oose two of t and the sec situation.

red

een countries

s opened up

roken out

a press releas

chain with a

tionship. As other.

grants from f they do relo them staying

ently half are

Consider th the scenario ond event at

s A and C

a chain of m

se to create 1

relevant arti

the other

the other ocate then g.

e country A a

e hypothetic s at the sugg t year 9. At e

anufacturing

100,000 new

cle and how

and B

cal 3000 gested time. each event m

g factories

w jobs

w they are

make

PAR

A Le the f and orga usua othe met

The Let’s pop torn The The The

Con

1. 2. 3.

RT B – LESLIE

eslie matrix c female popu turtles, in ho anisms that o ally devote a er variations hod of fertil

following Le

s extend the ulation chan n’ third world

basic struct

initial matrix

transition m

 either th  or the nu

sider the fol

50 100

Explain wha

Calculate an

In the follow

a. Show ‘bab Inclu

b. Show milit histo

c. Show Chin

d. Wha

[ ]A

MATRICES

can give a ref ulation. Some opes that at only have a f a large amou such as how isation.

eslie matrix m

solution fro nge for the fe d country.

ure of a Lesl

x [A] represe

matrix [B] rep

he chance to

umber of off

lowing popu

 0 0

500 1

   

t is happenin

nd explain th

wing question

w a realistic by bonus’ to ude a paragr

w a realistic tia started st orical instan

w a realistic na’s one child

at would hav

0 0.40 0

0 0

3 0 0

   

flection of a e animals ha least some o few offspring nt of time in w often an or

model will be

om Country C emales of tha

lie matrix:

ents the stag

presents:

survive to th

fspring that w

ulation Leslie

0.40 0

0 0.60

0 0

   

ng in the foll

e steady stat

n always refe

change in th families. raph about th

change in th tealing childr ce where thi

change in th d policy and

ve to happen

[ ]

x A

   

life cycle of s ave multiple of them will g like mamm nto raising th rganism can

e adapted to

C from quest at country. W

ges of a life cy

he next stage

will be produ

Model in th

owing Leslie

te and graph

er to the orig

he transition

he Australian

he transition ren to fight f is has occurr

he transition explain the

n for this to o

species focu offspring, lik survive whil

mals generally hem. There c reproduce a

o fit a transiti

tion 4 and co We will assum

ycle: Babies,

e of life (as a

uced (as an a

he “hundreds

e Model and

h the followin

ginal Leslie m

matrix if the

n governmen

matrix if wa for their caus red.

matrix if the reason behin

occur? What

sing on ke fish e y an be nd the

on matrix st

oncentrate on me that Coun

Teenagers a

a percentage

average quan

s of thousand

why there a

ng populatio

model and pr

e governmen

nts ‘Baby Bo

r started and se. Find and

e governmen nd it.

does it mea

tructure.

n the interna ntry C is a ‘w

and Adults.

e decimal)

ntity).

ds x1000”

re zeroes.

ons year by y

roduce a gra

nt offered a

nus’.

d the local include a

nt adopted

an?

al war

year.

ph.

STUDENT NUMBERS Transition Matrix

Student Initial Country ‘A’ Student Initial Country ‘A’

1 0.12 11 0.52

2 0.16 12 0.56

3 0.20 13 0.60

4 0.24 14 0.64

5 0.28 15 0.68

6 0.32 16 0.72

7 0.36 17 0.76

8 0.40 18 0.80

9 0.44 19 0.88

10 0.48 20 0.92

Analysis/Discussion:

Critically analyse your results, considering:

 the information your calculations have provided

 possible extensions and/or implications of the investigation

Conclusion:

The conclusions should include a summary of results, comments on the appropriateness of the model used and any assumptions and limitations of the investigation.

A completed directed investigating should include:

 an introduction that outlines the problem to be explored, including its significance, its features, and the context;

 the method of solution in terms of the mathematical model or strategy to be used;

 the appropriate application of the mathematical model or strategy, including:

 the generation or collection of relevant data / information, with details of the collection process;

 mathematical calculations and results, and appropriate representations;

 the analysis and interpretation of results;

 referencing limitations of the original problem as well as appropriate refinements and extensions;

 a statement of the solution and outcome in the context of the original problem;

 appendixes and bibliography as appropriate.

Your report should be structured to include:

 Introduction, Mathematical Investigations, Analysis/Discussion, Conclusion  Note: Your report should be written in the form “The analysis ……” rather than “When I

analysed……” or “When you analyse…….”

Performance will be assessed on the extent to which the following are demonstrated:

 Mathematical skills and understandings (with electronic technology)

 Analysis and interpretation of results and information

 The communication of mathematical information

 The organisation and presentation of material

 The ability to work independently and cooperatively