If  A =  0 1  0 0
        -1 2  0 0 
        -1 2 -1 1 
        -1 2 -2 2   

 has a characteristic polynomical P(t) = (t-1) whole square times t square.

a) find a basis of each eigen space,

b) is A diagonalizable? why/ why not?

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Request for Question Clarification by livioflores-ga on 08 Dec 2002 14:24 PST

Could you clarify this part:
"has a characteristic polynomical P(t) = (t-1) whole square times t square."

Than you.
livioflores-ga

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Clarification of Question by madukar-ga on 08 Dec 2002 15:30 PST

hi,

  it is  p(t) =  (t-1)  to the power 2  times t to the power2 

   here "times"  means  the multiplication
 
  t to the power 2 means = t square and in the same fasshion (t-1) to
the power 2 means (t-1) square