Eigenvectors

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Section 12.1 Eigenvectors

An eigenvector, of a matrix, is a non-zero vector where multiplication by said matrix does not change its direction. This sage block will generate a gif to demonstrate; you can define a new matrix or leave the values in.

All eigenvectors exist along the green lines of the gif.

Subsection 12.1.1 Eigenvectors of Matrices

We will use the matrix $A$ to demonstrate.

We can find its eigenvectors with the eigenvectors_right method.

We will focus on the first tuple in the list that was returned.

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