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Unit 20: Matrices

About this unit

This topic covers:

  • Adding & subtracting matrices
  • Multiplying matrices by scalars
  • Multiplying matrices
  • Representing & solving linear systems with matrices
  • Matrix inverses
  • Matrix determinants
  • Matrices as transformations
  • Matrices applications

Introduction to matrices

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Practice

Representing linear systems of equations with augmented matrices

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Practice

Elementary matrix row operations

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Practice

Row-echelon form & Gaussian elimination

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Adding & subtracting matrices

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Practice

Multiplying matrices by scalars

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Practice

Properties of matrix addition & scalar multiplication

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Multiplying matrices by matrices

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Practice

Properties of matrix multiplication

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Matrices as transformations

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Practice

Determinant of a 2x2 matrix

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Practice

Introduction to matrix inverses

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Practice

Finding the inverse of a matrix using its determinant

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Practice finding the inverses of 2x2 matrices

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Practice

Determinants & inverses of large matrices

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Practice

Solving equations with inverse matrices

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Practice

Model real-world situations with matrices

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