Eigenvalues and Eigenvectors
Tags: #math #eigenvalues #eigenvectorsEquation
$$A\mathbf{u}=\lambda\mathbf{u} \\ P_{n}(\lambda)=|A-\lambda I|$$Latex Code
A\mathbf{u}=\lambda\mathbf{u} \\
P_{n}(\lambda)=|A-\lambda I|
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Introduction
The n eigenvalues and eigenvectors
of an n by n matrix A are the solutions of the equation
. The eigenvalues are the zeros of the polynomial of degree n
. Additionally,
is called the characteristic equation of the matrix.
- Trace of matrix A
- Determinants of a matrix A
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