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Symplectic Matrix, Determinant, Characteristic Polynomial and Eigenvalues

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If ' is a symplectic matrix show that det ' = 1. Also prove that....where P(...) = det(,,,) is the characteristic polynomial of '. Finally, if ... is an eigenvalue with multiplicity k of ' then the same is true for...

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Symplectic Matrix, Determinant, Characteristic Polynomial and Eigenvalues are investigated. The solution is detailed and well presented.

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