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From: leox on 29 Jul 2010 15:34
Let x=(x_1,x_2,x_3), y=(y_1,y_2,y_2) be two orthonormal vector. What
are the all eigenvalues of the 3x3 matrix x^T y, where x^T
denotes transposed row.
From: Ken Pledger on 29 Jul 2010 17:54
In article
<c62167f9-dc1f-4ae2-a82d-e1f33fc9dbf1(a)l20g2000yqm.googlegroups.com>,
leox <leonid.uk(a)gmail.com> wrote:

> Let x=(x_1,x_2,x_3), y=(y_1,y_2,y_2) be two orthonormal vector. What
> are the all eigenvalues of the 3x3 matrix x^T y, where x^T
> denotes transposed row.


If you do this homework correctly you should find the answer 0, 0, 0.

Ken Pledger.
From: cwldoc on 30 Jul 2010 14:38
> Let x=(x_1,x_2,x_3), y=(y_1,y_2,y_2) be two
> orthonormal vector. What
> are the all eigenvalues of the 3x3 matrix x^T y,
> where x^T
> denotes transposed row.

0 is the only eigenvalue; the corresponding eigenvectors are precisely all the vectors orthogonal to y.
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