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Eigenvalues of Generalised Matrix

  • To: mathgroup at
  • Subject: [mg2557] Eigenvalues of Generalised Matrix
  • From: rmj at leland.Stanford.EDU (Roger M. Jones)
  • Date: Mon, 20 Nov 1995 01:14:44 -0500
  • Organization: Stanford University, CA 94305, USA

Dear Users,

The eigenvalues of a generalised matrix: A.x=lamda B.x
are found from (Inverse[B].B).x=lamda x.  However,
my matrix B is singular.  Anyone any ideas as to
how I may find the eigenvalues in this case?

Also, my actual B matrix is of the form:
B={{I,0,0},{0,I,0},{0,0,0}} (where I is the unit
matrix and 0 is the zero matrix).

I would very much appreciate any insight anyone has to
offer on the solution of this problem.

Roger Jones

(rmj at

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