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From: JEMebius on 4 Jun 2010 17:18
Kaba wrote:
> Hi,
>
> This is part of the first question for chapter 1 of "Applied numerical
> linear algebra" book, but I just can't come up with a solution:
>
> If A and B are orthogonal matrices, and det(A) = -det(B), show that
> A + B is singular.
>
> Any hints?
>


Beautiful theorem - I guess there exists a great purely geometrical proof.
I think that the book mentioned may be great and interesting too.
Please could you tell who are the author and the publisher?

Thanks in advance - Johan E. Mebius
From: Kaba on 4 Jun 2010 17:04
JEMebius wrote:
> Kaba wrote:
> > Hi,
> >
> > This is part of the first question for chapter 1 of "Applied numerical
> > linear algebra" book, but I just can't come up with a solution:
> >
> > If A and B are orthogonal matrices, and det(A) = -det(B), show that
> > A + B is singular.
> >
> > Any hints?
> >
>
>
> Beautiful theorem - I guess there exists a great purely geometrical proof.
> I think that the book mentioned may be great and interesting too.
> Please could you tell who are the author and the publisher?

Hi,
it is:

"Applied Numerical Linear Algebra", James W. Demmel:

http://www.amazon.com/Applied-Numerical-Linear-Algebra-
Demmel/dp/0898713897

Our university uses it as a course book for a course in numerical linear
algebra.

--
http://kaba.hilvi.org
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