Transition Matrices & Markov Chains
Setting up transition matrices, finding distributions after one, two and n steps with powers of the matrix, long-run (steady-state) distributions and regular Markov chains (syllabus 4.19).
Start practising → Formula sheet (PDF) ↗Sample questions
- Medium Set up a transition matrix No Calculator [4]
- Medium Distribution after two steps Calculator [3]
- Hard Long-run (steady) state No Calculator [5]
About this topic
These are original, exam-style questions written to match the IB Mathematics syllabus for Applications & Interpretation HL (Topic 4.19). Every question has a full worked solution with mark allocations matching real IB marking schemes, plus graphics-calculator key sequences for matrix multiplication and powers.
How to practise
- Open the question bank using the button above.
- Attempt the question, writing out your working.
- Reveal the full worked solution and compare your method step by step.
- Use the difficulty and calculator filters to focus on what you need most.