Search for a tool
Eigenvalues of a Matrix

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

Results

Eigenvalues of a Matrix -

Tag(s) : Mathematics,Algebra,Symbolic Computation

dCode and you

dCode is free and its tools are a valuable help in games, puzzles and problems to solve every day!
You have a problem, an idea for a project, a specific need and dCode can not (yet) help you? You need custom development? Contact-me!

Team dCode read all messages and answer them if you leave an email (not published). It is thanks to you that dCode has the best Eigenvalues of a Matrix tool. Thank you.

This page is using the new English version of dCode, please make comments !

# Eigenvalues of a Matrix

Sponsored ads

## Eigenvalues Calculator

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

## Answers to Questions

### 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.

$$M=\begin{pmatrix} 1 & 2 \\ 4 & 3 \end{pmatrix} \Rightarrow P(M)=x^2−4x−5=(x+1)(x-5)$$

$$P(M)=0 \iff x= -1 \mbox{ or } x = 5$$

The eigenvalues of the matrix M are -1 and 5.

For example, the eigenvector associated to 5 is $$\begin{pmatrix} 1 \\ 2 \end{pmatrix}$$.

## Source code

dCode retains ownership of the source code of the script Eigenvalues of a Matrix. Except explicit open source licence (free / freeware), any algorithm, applet, software (converter, solver, encryption / decryption, encoding / decoding, ciphering / deciphering, translator), or any snippet or function (convert, solve, decrypt, encrypt, decipher, cipher, decode, code, translate) written in PHP (or Java, C#, Python, Javascript, etc.) which dCode owns rights can be transferred after sales quote. So if you need to download the Eigenvalues of a Matrix script for offline use, for you, your company or association, see you on contact page !

## Questions / Comments

Team dCode read all messages and answer them if you leave an email (not published). It is thanks to you that dCode has the best Eigenvalues of a Matrix tool. Thank you.

Source : http://www.dcode.fr/matrix-eigenvalues
© 2016 dCode — The ultimate 'toolkit' website to solve every problem. dCode