Transition matrices and Leslie matrices

General Maths Units 3 and 4 (2023+)

Welcome

Learning objectives

Recap of past learning

Recurrence relations ... again

Let's change some letters!

Opening day!

End of the week ... am I rich yet?

What about the end of Week 2?

And week 3?

Willa ll cars end up in Colac then?

The rule for finding the state matrix after 'n' steps

What happens when the value of 'n' gets bigger and bigger?

Example 1

Example 2

Doing it backwards!

Example 3

VCAA Question 1: Transition Matrices

VCAA Question 2: Transition Matrices

VCAA Question 3: Transition Matrices

VCAA Question 4: Transition Matrices

VCAA Question 5: Transition Matrices

Final words

This is the third video in the series looking at Transition Matrices for the Year 12 General Maths course (VCE Units 3 and 4). Building on the content from the previous videos, I take the time to look at how we can now find state matrices into the future. This uses a formula (which we have met before in Financial Mathematics). I use a number of worked examples to explain the theory and then some of the more challenging VCAA questions to show how tricky the questions can get in the end of year examination.

LEGAL STUFF (VCAA)

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

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