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I think there is a mistake on the solution sheet for number 12.  Shouldn't the Eigenvectors be (1,1) or (-1,-1)?  I don't see how they can be (-1,1) when I use the (B,-A) or (-B,A) rule.  Can someone clarify?
 
 
 
On problem 11 I have the following for my J(1,1) matrix
 
 
<PRE>
 
-5/3  1/3
 
  2  -2
 
</PRE>
 
 
Has anyone else made an attempt at partial derivatives here.  I can't get the above Jacobian to produce real Eigenvalues.  Any ideas?
 
  
  

Revision as of 07:17, 11 December 2010

Work area for Practice Final Exam questions

Can anyone fill in the blanks on the last problem (23) Professor Bell worked in class today? I follow up to the u(x,t) = 1/2(sin2x)(cos2t) + ...... Where did the 1/2(sin2x)(cos2t) come from?


Can someone explain the purpose of the infinite sum 1/n^2 in problem 30? I understand how to use the Parseval's identity, but that last term in the problem statement is really confusing me.



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Basic linear algebra uncovers and clarifies very important geometry and algebra.

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