Question: We discussed in class, for stability we consider the matrix iteration equation WW) = A'lBWU') + A'ld'm Consider the 6 method with 6 = O.

 We discussed in class, for stability we consider the matrix iteration

We discussed in class, for stability we consider the matrix iteration equation WW\") = A'lBWU') + A'ld'm Consider the 6 method with 6 = O. a) Find all the eigenvalues of W = A'lB b) Is it true that all eigenvalues of W are real and lying in ( 1,1)? If yes please prove it, if no please provide an example 0) Is 9 method With 6 = 0 unconditionally stable? If yes please prove it, if no, please provide detailed reasoning (and if there is a stability condition you can arrive at, please provide it)

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