HL AI – Matrices
Matrix Operations
Markov Chains
Matrix Algebra
Transformations
Eigenvectors
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. |
| Describing transformations using translations and finding vectors for translations. |
| Describing transformations using rotations and finding matrices for rotations, including multiples of 90 degrees, and other degrees (or radians). |
| Describing transformations using reflections and finding matrices for reflections, including y=0, x=0, y=x, y=-x, and other straight lines such as y=2x. |
| Describing transformations using stretches and finding matrices for stretches. Understanding the area of stretches compared with the original. |
| Describing transformations using enlargements and finding matrices for enlargements. Understanding the area of stretches compared with the original. |