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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
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(1) |
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(2) |
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(3) |
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(4) |
See also Chebyshev Polynomial of the Second Kind
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.