Introduction to Transition Matrices (VCE SSCE General Mathematics): Flashcards
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Purpose of transition matrix
Purpose of transition matrix
Track/predict movement between states over time
Transition matrix shape property
Transition matrix shape property
Always square (equal rows and columns)
Column sum requirement in transition matrix
Column sum requirement in transition matrix
Must equal 1 or 100%
What columns represent in transition matrix
What columns represent in transition matrix
Current state
What rows represent in transition matrix
What rows represent in transition matrix
Next state (where transitions lead)
Converting 80% for transition matrix
Converting 80% for transition matrix
0.8
Verifying a transition matrix
Verifying a transition matrix
Check each column sums to 1.0
Predicting numbers using transition probability
Predicting numbers using transition probability
Multiply probability by current state number
Finding % moving from F if 70% stay in F
Finding % moving from F if 70% stay in F
Predicting total from multiple source states
Predicting total from multiple source states
Sum contributions from each starting state