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trouble with obtaining eigenvalue of parametric matrix

• To: mathgroup at smc.vnet.net
• Subject: [mg128376] trouble with obtaining eigenvalue of parametric matrix
• From: Mehrzad Sasanpoor <mz_spoor at yahoo.com>
• Date: Thu, 11 Oct 2012 02:07:47 -0400 (EDT)
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• Reply-to: Mehrzad Sasanpoor <mz_spoor at yahoo.com>

I have a parametric 13*13 matrix as following and I want to find their eigenvalues in term of these parameters.

Eigenvalues[{{ec,
tc, tc, ,0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {tc, ec, 0, tc, 0, 0, 0, 0, 0, 0, 0, 0,
0}, {tc, 0, ec, 0, tc, 0, 0, 0, 0, 0, 0, 0, 0}, {0, tc, 0, ec, 0, tc, zc, xc, 0,
0, 0, 0, 0}, {0, 0, tc, 0, ec, tc, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, tc, tc, ec, 0,
0, 0, 0, 0, 0, 0} ,{0, 0, 0, zc, 0, 0, ez, 0, 0, 0, 0, 0, 0}, {0, 0, 0, xc, 0, 0,
0, ex, 0, xo, xy, xo, xy}, {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, ey, nyx, yy, yx, yy},
{0, 0, 0, 0, 0, 0, 0, xo, nyx, ex, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, xy, yy, 0, ey,
0, 0}, {0, 0, 0, 0, 0, 0, 0, xo, nyx, 0, 0, ex, 0}, {0, 0, 0, 0, 0, 0, 0, xy, yy,
0, 0, 0, ey}}]


but I face with this error?

Eigenvalues::matsq: Argument \
{{ec,tc,tc,0,0,0,0,0,0,0,<<3>>},{tc,ec,0,tc,0,0,0,0,0,0,<<3>>},{tc,0,\
ec,0,tc,0,0,0,0,0,<<3>>},<<5>>,{0,0,0,0,0,0,0,0,0,0,<<5>>},{0,0,0,0,0,\
0,0,xo,nyx,ex,<<3>>},<<3>>} at position 1 is not a nonempty square \
matrix. >>

what should I do?

thanks a lot for your attention

• Follow-Ups:
  • Re: trouble with obtaining eigenvalue of parametric
    • From: Nigel King <nigel.king@cambiumnetworks.com>
  • Re: trouble with obtaining eigenvalue of parametric matrix
    • From: Bob Hanlon <hanlonr357@gmail.com>
  • Re: trouble with obtaining eigenvalue of parametric matrix
    • From: Murray Eisenberg <murray@math.umass.edu>