How to check if a Vector is an Eigenvector?

In this video, we demonstrate a simple check to see if a vector is an eigenvector for a matrix and what that eigenvalue would be.

Linear Algebra Done Openly is an open source linear algebra textbook developed by Dr. Andrew Misseldine. It is supported and improved by student contributions done by Math 2700 students at Southern Utah University, since Fall 2018. The textbook can be found at:

This lecture covers section 6.1 - Eigenvalues and Eigenvectors from the book. This is part 2 of 5 videos from this section.

[rina]

Thank you, thank you, THANK YOU! This has been extremely helpful to me.

[Raniaska]

Clear and concise example, thank you for the tutorial!

[Alexgamer-pphm]

Thanks! Super easy to understand like this, makes eigenvalues and vectors easier to understand

[Vis-znox]

This method is only helpful in 2x2 matrix cuz for 3x3 matrix it takes a lot of time which is not available during exams