When , .

The book answer is:

Why am I having a discrepancy?

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- Apr 14th 2010, 04:57 PMdwsmithComplex Eigen Space

When , .

The book answer is:

Why am I having a discrepancy? - Apr 14th 2010, 07:27 PMtonio
- Apr 14th 2010, 07:29 PMdwsmith
What does what mean?

And your answer isn't correct either. - Apr 14th 2010, 07:40 PMtonio
- Apr 14th 2010, 07:41 PMdwsmith
That was I was original doing until all my complex eigen spaces were wrong.

- Apr 14th 2010, 07:41 PMtonio
- Apr 14th 2010, 07:42 PMtonio
- Apr 14th 2010, 07:43 PMdwsmith
That is the span of of the eigen space. Any number times the column vector is in the space.

- Apr 14th 2010, 07:44 PMdwsmith
- Apr 14th 2010, 07:55 PMtonio

I still can' understand what you mean...but never mind: you wrote http://www.mathhelpforum.com/math-he...d7c6753d-1.gif , which I suppose means to find the eigenvalues of a matrix

which is then . You say your book says that and all its scalar multiples are eigenvalues of A corresponding to . This is not so:

, as you can easily check.

So either you miscopied some of the given terms, or you looked at the answer to the wrong question, or your book is dead wrong.

You may now want to check that the vector I gave you in my first post really is an eigenvector of the above matrix A corresponding to ...

Tonio - Apr 14th 2010, 08:03 PMdwsmith
Trust me I understand what you are saying because I did the problem the other way original.

However, I doubled checked the answers and I didn't have a copying error and this isn't just a one time occurrence of how they handling imaginary eigenvectors and spaces.

I could understand a book having a mistake on one problem but on all complex problems would be hard to fathom as well.

Therefore, I am stuck in a quandary since it is hard to have a consistency of the same error. - Apr 14th 2010, 08:06 PMtonio
- Apr 14th 2010, 08:09 PMdwsmith
Linear Algebra with Applications (Ed. 8) by Steven J. Leon.

pg 294, 1e