eFunda: Jordan Decomposition
engineering fundamentals Jordan Decomposition
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This calculator performs the Jordan Decomposition for a square matrix. Usually, the results of the decomposition are a diagonal matrix formed by eigenvalues and a matrix formed by eigenvectors. Thus, it is also known as the eignevalue/eigenvector decomposition when all eigenvalues are distinct. However, when repeated roots of nonzero eigenvalues occur, the Jordan canonical form is used to "diagonalize" the undiagonalizable matrix.

The dimension of matrix is limited to 10 × 10 or less to conserve system resource. The input format must be strictly followed to have a correct matrix data parsing.

Inputs   Help
The input matrix must have "," between columns and ";" between rows. [Space], [Tab], and [Enter] will be ignored.
Matrix:  2, -1, 0;
-1, 2, -1;
0, -1, 2;
Evaluation: 
Output: 
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