Matrices

Progress
Introduction to matrices
Representing linear systems of equations with augmented matrices
Quiz 1
5 questions
Elementary matrix row operations
Row-echelon form and Gaussian elimination
Adding and subtracting matrices
Quiz 2
5 questions
Multiplying matrices by scalars
Properties of matrix addition & scalar multiplication
Multiplying matrices by matrices
Properties of matrix multiplication
Quiz 3
5 questions
Matrices as transformations
The determinant of a 2x2 matrix
Quiz 4
5 questions
Introduction to matrix inverses
Finding the inverse of a matrix using its determinant
Practice finding the inverses of 2x2 matrices
Solving equations with inverse matrices
Model real-world situations with matrices
Unit test
15 questions

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About this unit
Learn what matrices are and about their various uses: solving systems of equations, transforming shapes and vectors, and representing real-world situations. Learn how to add, subtract, and multiply matrices, and find the inverses of matrices.