Calculator for eigenvalues and eigenvectors

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Calculate eigenvalues and eigenvectors

On this site one can calculate the Characteristic Polynomial, the Eigenvalues, and the Eigenvectors for a given matrix. →Below is a calculator to determine matrices for given Eigensystems.

Input the components of a square matrix separating the numbers with spaces.
The new script recognizes fractions and complex numbers, e.g., -3+7/5i (input without spaces!)
The exact modus is implemented in Javascript too, but is not very fast for bigger matrices. Better use the Java modes.

Options:

characteristic polynomial

algorithm:

select automatically always exact

float mode when input contains point(s)

Eigenvalues

approximate 100 digits (only in Java/exact-mode)

Eigenvectors

general

reconstruct fractions (via continued fraction algorithm)

check results

Output format

dezimal separator:

format input

Gerschgorin circles

resp. sum of rows
... columns

plot all elements

• eigenvalues, • diagonal entries, • other entries of matrix


	exact reconstruct fractions after floating point calculation tests exact test after calculation in exact mode

Calculate eigenvalues and eigenvectors

Calculation of a matrix for given Eigenvalues and vectors