Setting Up and Interpreting Transition Matrices (VCE SSCE General Mathematics): Flashcards
📚Flashcards
Practise the cards
10 cards from this deck
ShowHide
Practise the cards
10 cards from this deck
Transition matrix definition
Transition matrix definition
Matrix describing how things move between states over time
State in a transition matrix
State in a transition matrix
A particular condition or location at a given time
What is a transition?
What is a transition?
When something moves from one state to another
What columns represent in transition matrix
What columns represent in transition matrix
The starting state (where items begin)
What rows represent in transition matrix
What rows represent in transition matrix
The ending state (where items finish)
Column sum rule for transition matrices
Column sum rule for transition matrices
Each column must sum to 1 (or 100%)
Matrix size for 2-state system
Matrix size for 2-state system
matrix
How to find transition probability from matrix
How to find transition probability from matrix
Find starting state column, then ending state row
How to predict expected number of items
How to predict expected number of items
Multiply probability by number of items in that state
Format used in transition matrices (% or decimals?)
Format used in transition matrices (% or decimals?)
Proportions (decimals), not percentages