# Action of a 2x2 Singular Transformation Matrix in 2D

Action of a 2x2 Singular Transformation Matrix in 2D

This Demonstration shows the action of singular transformation matrices in 2D: all points are either mapped to a line passing through the origin or, if the matrix is null, to the origin itself. Use the sliders to vary three of the elements of the singular matrix.

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When the 2D space is mapped to a line, drag the locator to move the point on the left and observe its corresponding image point in the plot on the right.