Let and be distinct eigenvalues for and let the corresponding eigenspaces be and respectively. Prove that the only vector common to both and is the zero vector.

Printable View

- Feb 2nd 2010, 05:14 PMwopashuiProve zero vector
Let and be distinct eigenvalues for and let the corresponding eigenspaces be and respectively. Prove that the only vector common to both and is the zero vector.

- Feb 2nd 2010, 05:30 PMBruno J.
What do you get if you apply T to a vector lying in the intersection?

- Feb 3rd 2010, 09:32 AMRunty
Look at this topic:

http://www.mathhelpforum.com/math-he...ro-vector.html

I already asked the question earlier and had it answered.