Find eigenvalues and eigenvectors, diagonalize matrices, and compute matrix powers.
Now playing · Lecture 01
Checking for an Eigenvector
An eigenvector of the matrix A is a vector v such that Av = Lv. In other words, when the matrix A "acts on" the vector v, the result is the same vector v just scaled by the number L. The number L is the eigenvalue associated with the eigenvector v.In this video we are given a matrix A and vectors v1 and v2. We compute Av1 and Av2 to see if they result in a Lv1 or Lv2, i.e. to check if they are eigenvectors or not.
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