IB Maths AI HL Topic 4.19 Notes: Transition Matrices
These notes introduce transition matrices and Markov chains for IB Maths AI HL. Students learn to read and construct column-stochastic matrices, represent a system with state vectors, and use matrix powers to find future distributions.
The notes also explain steady-state behaviour and guide students through solving S = TS using simultaneous equations and a normalisation condition. Structured examples and practice apply the methods to contexts such as market share and radio-station listeners. Student notes and a worked teacher version support instruction, practice and revision.
Use alongside the lesson slides and the practice worksheet with answer key.
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