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  3. given a matrix a = [?1 ? ? 0 ?2 ? 0 0 ?2], with ?1

Given a matrix A = [?1 ? ? 0 ?2 ? 0 0 ?2], with ?1 ?...

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Advance Math

Given a matrix A = [?1 ? ?
0 ?2 ?
0 0 ?2], with ?1 ? ?2 and ?1, ?2 ? 0,
A) Find necessary and sufficient conditions on a, b, and csuch that A is diagonalizable.
B) Find a matrix, C, such that C-1 A C = D, where D isdiagonal.
C) Demonstrate this with ?1 = 2, ?2 = 5, and a, b, and cchosen by you, satisfying your criteria from A).

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