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Precalculus - Unit Four

Enter the Matrix


In this unit you will study dimensional matrices and their applications. First, you are introduced to networks and the value of matrices in counting routes. Later, the geometric effect of matrix operations—matrix product, matrix sum, and scalar multiplication—are examined, and students come to see, geometrically, that matrix multiplication for square matrices is not a commutative operation, but that it still satisfies the associative and distributive properties A third context for the use of matrices is the study of systems of linear equations.

Click on a link to jump ahead to the following sections:

  • Lessons
  • Other Resources


Enter the Matrix

Lessons

  • Lesson 1: Introduction to Networks
    • 4.1 Investigation - Walking and Flying Around Hogsmeade
    • 4.1 Practice - Networks - Practice

  • Lesson 2: Matrices and Networks, Part 2
    • 4.2 Investigation - The Matrix
    • 4.2 Practice - Mattrices - Practice

  • Lesson 3: Matrix Arithmetic
    • 4.3 Investigation - The Matrix Reloaded
    • 4.3 Practice - Matrix Arithmetic - Practice

  • Lesson 4: Matrix Properties
    • 4.4 Investigation - The Matrix Online
    • 4.4 Practice - Matrix Properties - Practice

  • Lesson 5: Linear Systems and Matrices
    • 4.5 Investigation - Nutritional Analysis
    • 4.5 Practice - Linear Systems - Practice

  • Lesson 6: Cryptography and Inverse Matrices
    • 4.6 Investigation - The Matrix
    • 4.6 Practice - Inverse Matrices - Practice

  • Lesson 7: Matrix Equations
    • 4.7 Investigation - The Matrix
    • 4.7 Practice - Matrix Equations - Practice

  • Lesson 8: Determinants and Cramer’s Rule
    • 4.8 Investigation - More Matrix Applications
    • 4.8 Practice - Cramer’s Rule - Practice

  • Lesson 9: Matrices as Transformations of the Coordinate Plane
    • 4.9 Investigation - Geometric Transformations/li>
    • 4.9 Practice - Geometric Transformations - Practice







Resources - Matrices

The following are links to resources for Matrices:

  • Entire Unit - Coming Soon

  • Matrices - Entire unit on Khan Academy



The following are other free resources:

  • GeoGebra - Free online math tools

  • Desmos - Free online graphing calculator







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