Encyclopedia > Symplectic matrix

Article Content

Symplectic matrix

In linear algebra, a symplectic maxtrix is a 2n by 2n complex matrix A such that A^tJA = J,
J beeing the 2n by 2n skew-symmetric matrix:

<math>J =

\begin{bmatrix} Z & E_n \\ -E_n & Z \\ \end{bmatrix} </math>

All Wikipedia text is available under the terms of the GNU Free Documentation License

Search Encyclopedia

Search over one million articles, find something about almost anything!

Featured Article

... Jefferson (W) 162 Democratic-Republican George Clinton (162) Charles C. Pinckney[?] 14 Federalist Rufus King (14) Other elections: 1792 ...