Matrix Calculator applet
The matrix calculator below computes inverses,
eigenvalues and eigenvectors of 2 x 2, 3 x 3, 4 x 4 and 5 x 5 matrices,
multiplies a matrix
and a vector, and solves the
matrix-vector equation Ax = b. You can change the entries
in the matrix A and vector b by clicking on them
- Press the Invert
button to see A-1.
This requires the matrix to be nonsingular.
- Press the Eigen button to see the eigenvalues, with
an eigenvector below each eigenvalue. Note that in the case of
complex eigenvalues, only one of each complex-conjugate pair
- Press the Solve button to see the solution
of Ax=b. This requires the matrix to be nonsingular.
- Press the Multiply button to see the product
- You can keep three different matrices A, B, C and three
different vectors a, b and c.
To switch among them, click on the name and choose another one.
The buttons always operate on the currently-chosen matrix and
- The Copy button copies the latest result (if any) into
the currently shown matrix or vector.
An inverse matrix will be copied into the current matrix.
For the result of Eigen, the three eigenvectors are copied
into the columns of the current matrix. In the case of complex
eigenvalues, the real part of a complex eigenvector is copied into
one column and the imaginary part into the next column.
For the result of Solve, the solution vector is copied into
the current vector.
- Click on 5 x 5 to change the matrix and vector sizes.
Note that this sets all entries of the matrices and vectors to 0.
This applet uses the
JAMA linear algebra package.