# HL AI – Matrices

## Matrix Operations

## Markov Chains

## Matrix Algebra

## Transformations

## Eigenvectors

## Matrices review

## Traffic Light Coding for Unit

Make your own copy and share with your students.

##### 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. |