The user selects the columns of the \(2 \times 2\) standard matrix for a linear transformation by choosing its columns vectors on a graph of \(\mathbf{R}^2\). The applet provides a wealth of

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The user inputs a \(3 \times 3\) transition matrix for a Markov chain along with the initial state of the chain. The user can then simulate steps of the chain one at a time and watch its prog

The user inputs the augmented matrix of a linear system, then has several options for row reducing the matrix to find a solution to the system: the reduction can be done one row operation at a time

This module contains a well-written introduction to numerical solution of systems of linear equations and a Java applet.

The user selects a point \(P\) in \(R^2\) by dragging with the mouse. The coordinates of \(P\) in the standard basis are given along with its coordinates in a second basis, which are calculat

The user selects the entries in a 2 by 2 matrix, which may be any number s between -3 and 3. The matrix is taken to be the standard matrix of a linear transformation. The user may then

The user drags two points in the plane to form the eigenvectors for a transformation; the corresponding eigenvalues are the respective lengths of the vectors. The application shows the standa

The user selects the entries in a 2 by 2 matrix, which may be any numbers between -5 and 5. The matrix is taken to be the standard matrix of a linear transformation.

The user selects the coefficients of a 2 by 2 matrix and drags a red arrow about \(R^2\). The application shows the image of the red arrow under the matrix as a blue arrow.

The user selects from several matrices that represent basic transformations of the plane. The application shows the images of the standard basis under the transformation, and the user can sel