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
and typing.
- 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
is shown.
- 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
Ab.
- 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
vector.
- 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.