A Matrix with Integer elements and Determinant det ± 1, also called a Unit Matrix.

The inverse of a unimodular matrix is another unimodular matrix. A Positive unimodular matrix has det
. The
th Power of a Positive Unimodular Matrix

(1) |

(2) |

(3) |

(4) |

**References**

Born, M. and Wolf, E.
*Principles of Optics: Electromagnetic Theory of Propagation, Interference, and Diffraction of Light, 6th ed.*
New York: Pergamon Press, p. 67, 1980.

Goldstein, H. *Classical Mechanics, 2nd ed.* Reading, MA: Addison-Wesley, p. 149, 1980.

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1999-05-26