Introduction to Transition Matrices (VCE SSCE General Mathematics): Quizzes

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Introduction to Transition Matrices
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What does a transition matrix help us track and predict?

How things move between states over time

What type of matrix is a transition matrix always?

Square matrix

What must each column in a transition matrix sum to?

Exactly 1

In a transition matrix, what do the columns represent?

The current state

In a transition matrix, what do the rows show?

Where things transition to

How should 80% be written in a transition matrix?

0.80.8

If 70% on ride F stay on F, what % switch to ride M?

30%

In matrix T=[0.80.30.20.7]T = \begin{bmatrix} 0.8 & 0.3 \\ 0.2 & 0.7 \end{bmatrix}, what's the F to F probability?

0.80.8

If 140 children on F and 80% stay on F, how many stay on F next?

112

140 on F (80% stay), 80 on M (30% to F). How many total on F next?

136

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