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This is a video of a handwritten explanation of eigenvalues and eigenvectors. Nothing fancy, but it is effective.

This is a nicely-designed applet that is effective at displaying the effect of a \(2 \times 2\) matrix transformation.

For a fixed matrix, users can drag one or two vectors to locate eigenvectors geometrically.

For a fixed matrix, users can drag one or two vectors to locate eigenvectors geometrically.

There is nothing too fancy here. Users can define their own \(2 \times 2\) matrix either numerically or by dragging vectors that correspond to the columns of the matrix.

This applet is very effective at displaying the Gerschgorin circles associated with the eigenvalues of a \(4 \times 4\) matrix.

Very nice applet that does a good job showing how composition of linear transformations works.

This applet displays the Gerschgorin circles assocaited with \(3 \times 3\) to \(8 \times 8\) matrices. Pre-defined or random matrices acan be selcted. User-defined matrices are not possible.

Simple applet that illustrates eigenvectors/eigenvalues of \(2 \times 2\) matrices.

Simple but effective applet. Does a good job of visually demonstrating eigenvectors and how a basis of eigenvectors leadds to matrix diagonalization.

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