The nonsymmetric eigenproblem

Here you can choose input of A:
A 4*4 matrix with the eigenvalues 1, 2, 3, 4
A 4*4 matrix with the eigenvalues 1+/-5i, 2, 12
A 6*6 matrix with eigenvalues 1, 1, 2+/-i, 3, 3 which is not diagonalizable (defective).
(For the double eigenvalue 1 there is only one eigendirection whereas for 3 there is a full eigenspace.)
Construction of a matrix A by back calculation using a given fixed eigensystem stored internally and n complex eigenvalues given as input. Complex eigenvalues are read in as tuples (.,.), where the first component is the real part and the second the imaginary part. If an eigenvalue has a nonzero imaginary part , then the conjugate eigenvalue must follow immediately, otherwise an error message is issued.
eigenvalues:

complete input of an nonsymmetric realmatrix. Input is rowwise, elements separated by comma or blank, each row beginning on a new input line. but a row may extend over several lines. for m same values E in succession you may type m*E ( for 3 zeroes : 3*0).
A =

for cases 4 or 5 define the dimension here:
n = Important: 2 <= n <= 30 !

do you wish a printout of A ?
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Do you wish a printout of the complete eigensystem ?
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Click on "evaluate", in order to submit your input.

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12.10.2010