IB Maths AI 4.14 Definitions

This page contains our IB Maths AI definitions for 4.14. By learning each one of these definitions, you will fully cover the content for IB Maths AI 'Transition matrices'.

All Topic 4 Sub-topics 4.1: Fundamentals Of Statistics 4.2: Visualising Statistics 4.3: Distribution Properties 4.4: Introduction To Linear Statistics 4.5: Probability 4.6: Probability Distributions 4.7: Hypotheses & Tests (HL)4.8: Data collection & categorisation (HL)4.9: Advanced linear statistics (HL)4.10: Linear transformations & combinations (HL)4.11: Confidence intervals (HL)4.12: Poisson distribution (HL)4.13: Distribution tests (HL)4.14: Transition matrices

eigenvector

A non-zero vector

\mathbf{v}

that satisfies

A\mathbf{v}=\lambda\mathbf{v}

for some scalar

\lambda

, meaning the matrix transformation changes only its size (and possibly reverses it) but not its direction.

Markov

A stochastic process in which the next state depends only on the current state and not on the earlier history of the system.

probability

Measures how likely an event is to happen, taking a value between $0$ and $1$ , where $0$ means impossible and $1$ means certain.

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