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Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In physics, a parity transformation (also called parity inversion) is the flip in the sign of one spatial coordinate. A 3×3 matrix representation of P would have determinant equal to 1, and hence cannot reduce to a rotation which has a determinant equal to 1. The corresponding mathematical notion is that of a point reflection. In a two-dimensional plane, parity is not a simultaneous flip of all coordinates, which would be the same as a rotation by 180 degrees. It is important that the determinant of the P matrix be -1, which does not happen for 180 degree rotation in 2-D where a parity transformation flips the sign of either x or y, not both.