Linear Algebra: Conditions for Function Invertibility

Related Topics:
More Lessons for Linear Algebra
Math Worksheets

Share this page to Google Classroom

A series of linear algebra lectures given in videos.

Linear Algebra: Exploring the solution set of Ax = b
Exploring the solution set of Ax=b (non homogeneous equations)

Linear Algebra: Matrix condition for one-to-one transformation
Showing that the rank of the of an m x n transformation matrix has to be an for the transformation to be one-to-one (injective)

Linear Algebra: Simplifying conditions for invertibility
Showing that a transformation is invertible if and only if rref(A) is equal to the identity matrix

Linear Algebra: Showing that Inverses are Linear
Showing that inverse transformations are also linear

Try the free Mathway calculator and problem solver below to practice various math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.
Mathway Calculator Widget

We welcome your feedback, comments and questions about this site or page. Please submit your feedback or enquiries via our Feedback page.