Sophia Learning
Sophia: Writing Systems of Equations With Augmented Matrices
This lesson demonstrates how to write systems of equations as augmented matrices. Students can watch a tutorial video and then take a quiz.
Khan Academy
Khan Academy: Matrices: Reduced Row Echelon Form 2
This video shows an example of solving a system of linear equations by putting an augmented matrix into reduced row echelon form.
Khan Academy
Khan Academy: Invertible Change of Basis Matrix
Using an invertible change of basis matrix to go between different coordinate systems.
Khan Academy
Khan Academy: Linear Algebra: Singular Matrices
Video explains why a matrix is singular if its determinant is 0. Relates why the inverse does not exist to solving systems of linear equations and vector combinations. This video also appears in the strand Algebra: Matrices. [14:27]
Khan Academy
Khan Academy: Change of Basis: Coordinates With Respect to a Basis
Understanding alternate coordinate systems.
Khan Academy
Khan Academy: Solving Systems by Elimination: Reduced Row Echelon Form 1
Video shows how to use matrices and reduced row echelon form to simplify a system of 3 equations in 4 variables.
Sophia Learning
Sophia: Using Determinants to Classify 2x2 Matrices
This lesson demonstrates how the determinant of a 2x2 matrix can be used to tell whether or not the matrix represents a dependent linear system, an inconsistent linear system, or neither.
Sophia Learning
Sophia: Vectors and Tensors: Lesson 4
In this lesson, students are introduced to vectors and tensors, and their significance when working with matrices. Students should be familiar with the concept of a matrix before beginning this lesson. It is 4 of 4 in the series titled...
Sophia Learning
Sophia: Solving a System of Linear Equations Given Two Cost Relationships
In this lesson, students will learn Solving a System of Linear Equations given two Cost Relationships