eigenvalues and eigenvectors

What are Eigenvalues and Eigenvectors?

Eigenvalues and eigenvectors are properties of a square matrix. In simple terms, if you have a matrix A and a vector v, the vector v is an eigenvector of the matrix A if it satisfies the equation:
A * v = λ * v
Here, λ (lambda) is the eigenvalue corresponding to the eigenvector v. Essentially, the matrix A transforms the eigenvector v into a scaled version of itself, where the scaling factor is the eigenvalue λ.

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