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Eigenvalues

Let A be a square matrix nxn. The number λ is called eigenvalue of matrix if there exist a vector v of n elements such that A.v= λv. The vector v is called eigenvector for the eigenvalue λ.

λ is eigenvalue of matrix A if and only if det(A-λI)=0. If λ is simple, double, triple ... root in the above equation we say that this eigenvalue has algebraic multiplicity 1,2,3,...

Example of matrix
[[1,2,5], [2,7,9], [3,53,12]] or

[
[1.05, 2.33],
[2.78, 7.11]
]


Characters permitted:
0,1,2,...,9,[,],.,"space","newline"

Rows of matrix must be separated by ','.

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