HL AI – Matrices

Simple Operations

Sim. Equations

Transition Matrices



Markov Chains

Identities and Zero

Matrix Powers

Matrices review

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Learning Outcomes
Understand definition and order of matrices.
Simple operations with matrice: addition, subtraction, scalar multiplying.
Multiplication of matrices.
Identity and zero matrices and determinants of matrices using technology and by hand.
Solving simultaneous equations with matrices and using inverse matrices for solutions.
Understanding eigenvalues and eigenvectors, including diagonalization.
Powers of 2×2 matrices.
Using matrices for transformations.
Determinant of a transformation matrix.
Transition matrices and powers of transition matrices.
Markov chains and initial state probability matrices.
Steady and long term probabilities by continued multiplications.