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Transition matrices and Leslie matrices

General Maths Units 3 and 4 2023+

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Lesson notes

LEGAL STUFF

VCE Maths exam question content used by permission, ©VCAA. The VCAA is not affiliated with, and does not endorse, this video resource. VCE® is a registered trademark of the VCAA. Past VCE exams and related content can be accessed at www.vcaa.vic.edu.au

Chapters

Welcome

Learning objectives

Recap of past learning

Births, deaths and marriages

Birth rates and survival rates

Showing birth and survival rates pictorially

Pictures into matrices: Life-cycle transition diagram

Example

Population and initial population state matrix

Example of using a Leslie Matrix

Finding the population matrix Sn after n time periods

Example

Example 2

Example 3

Long term behaviour of population numbers

Example 4

Example 5

Final words

Description

This is the final video looking and transition matrices and Leslie Matrices which forms part of the Year 12 VCE General Maths course at Units 3 and 4. This is brand new content to the VCE General Maths course (2023) and I have made an attempt to try and explain it around the Cambridge VCE Textbook. There are lots of worked examples to scaffold understanding of this new content.

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