In this video, we discuss how the inverse matrix (calculation process covered in previous video) can be used to solve linear equations. We go through an example of a system of equations with two variables.
In this course we’ll go over the basics of linear algebra. This linear algebra series covers the standard syllabus of a linear algebra course. The series is broken down into multiple topics and each is explored step-by-step in depth. Multiple examples are included throughout the video so that you can understand the concepts thoroughly. By the end of this course, you’ll have an overview of the subject of linear algebra.
Course Notes for this series: https://docs.google.com/document/d/1_BteksxSBRatdXj1WTm2oTwd6Z5GOxpP-kpm9A7yM4U/edit?usp=sharing
Following topics are covered in this series:
– Overview of Vectors
– Matrices and linear transformation
– Row Echelon and Reduced Row Echelon Form
– Gaussian and Gauss-Jordan Elimination
– Column Space
– Null Space
– Inverse Matrices
– Using Inverse Matrix to Solve Systems of Linear Equations
– Dot Product and Cross Product
– Cramer’s Rule
– Eigenvalues and Eigenvectors
Sound credits: Sound Credits – Bensound (https://www.bensound.com), royalty free music
Hope you found the video helpful!