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MAT244 Math--Lectures / How to find the eigenvector and determine type, special case.

« on: December 07, 2014, 01:50:12 PM »

I got a question like this,
As I solved, I find the critical point is (0,0) and A= (0                 1)
                                                                          (-6x^2+8     0)
after plug(0,0) into, it becomes (0, 1)
                                              (0, 0)
so, λ1=0=λ2, how to solve eigenvector and determine the type of critical point?

Thanks for help.

2

MAT244 Math--Lectures / Textbook 7.8 Q3

« on: November 19, 2014, 01:00:30 AM »

Is answer of ch7.8 Q3 a) the solution manual wrong?
I think the answer should be clockwise.