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

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 c such that A is diagonalizable.

B) Find a matrix, C, such that C-1 A C = D, where D is diagonal.

C) Demonstrate this with ?1 = 2, ?2 = 5, and a, b, and c chosen by you, satisfying your criteria from A).

Expert Solution

Colby Messinger answered 2 years ago

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