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Tool to calculate eigenvalues of a matrix. The eigenvalues of a matrix are values that allow to reduce the associated endomorphisms.

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How to calculate eigen values of a matrix?

Consider \( M \) a square matrix, the eigenvalues of M are the roots of the characteristic polynomial \( P \) of the matrix M.

Eigenvalues are generally called \( \lambda \) associated with the eigenvector \( v \) if $$ M.v = \lambda v \iff (M-\lambda I) v = 0 $$ with \( I \) the identity matrix.

An eigenvalue of a matrix is always associated with an eigenvector. Use the eigenvectors calculator proposed by dCode.

For example, the eigenvector associated to 5 is \( \begin{bmatrix} 1 \\ 2 \end{bmatrix} \).

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