# Change of Basis in 2D

This application shows the connection between the coordinate vectors for a point in the standard basis and another basis.

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http://demonstrations.wolfram.com/ChangeOfBasisIn2D/
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Wolfram Demonstrations Project
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The user selects a point $$P$$ in $$\mathbf{R}^2$$ 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 calculated using the change-of-basis matrix. The determinant of the transformation is also shown, but its use is not explained.