HL AI – Matrices
Simple Operations
Sim. Equations
Transition Matrices
Multiplication
Eigenvectors
Markov Chains
Identities and Zero
Matrix Powers
Matrices review
Traffic Light Coding for Unit
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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. |