SOLUTION: Find eigen value corresponds to eigne vector [3 2]t for M = [1 -3] [-2 2]

Question 1172374: Find eigen value corresponds to eigne vector [3 2]t for M = [1 -3]
[-2 2]
Answer by ikleyn(52776) (Show Source): You can put this solution on YOUR website!
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Let the given matrix M acts on the given vector [3,2]^t.


In other words, calculate the vector


     = ..



Since the given vector is eigenvalue vector

      (by the way, notice how I write this word --- and LEARN/memorize it (!) )


the resulting vector will be proportional to the given vector:


    the resulting vector   = .



The proportionality coefficient "k" in this equation is the eigenvalue you are seeking for.

After my explanations, boldly go forward and do the rest on your own.

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