Education, Artificial Intelligence, Computer Vision.
Eigenvalues and Eigenvectors Let 𝐴 be a matrix of shape 𝑚 x 𝑛, and 𝑥⃗ be a vector of size 𝑛. Then 𝑥⃗ is the eigenvector of 𝐴 if 𝐴𝑥⃗ = 𝜆𝑥⃗, where 𝜆 is a scalar called the eigenvalue of 𝑥⃗. The properties of eigenvalues and eigenvectors depend on the matrix 𝐴. Suppose the matrix 𝐴 has 𝑛 independent