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Re: how do I solve...


From: Ben Bunck
Subject: Re: how do I solve...
Date: Sat, 6 Oct 2001 05:16:27 -0700 (PDT)

If inv(R)NR=B,

=>   inv(R)N=B*inv(R)

If N is diagonal, then the columns of inv(R) must be
eigenvectors of B with eigenvalues equal to the
diagonal entries of N.  Moreover, since eigenvectors
are invariant under constant multiplication, the
columns of inv(R) are not determined uniquely.  So R
is not determined uniquely either.

Ben

On Friday 05 October 2001 06:05 pm, David Clark wrote:
> inv(R)NR=B
>
> where R is an unknown 3x3 matrix, N is a diagonal
3x3 matrix, and B is
> a known 3x3 matrix.
>
> There is no eigen value relationship between N and R
and B
>
> Thanks,
> Dave


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