Vector Transformations and Eigenvectors of 2×2 Matrix
Requires a Wolfram Notebook System
Interact on desktop, mobile and cloud with the free Wolfram Player or other Wolfram Language products.
This Demonstration shows the transformation represented by a matrix applied to a vector . The vector is transformed to a new vector , shown in color. If the vector is an eigenvector of , then is simply scaled by , the eigenvalue, without changing direction (except the direction is reversed if .) Color-coded formulas show the calculation of the inverse, determinant and new vector , as well as the eigenvectors of .[more]
If matrix is singular and has no inverse, it is indicated.[less]
Contributed by: Timothy Newlin (August 2020)
(United States Military Academy West Point)
Open content licensed under CC BY-NC-SA