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Consider the matrix 2 1 0 A= 0 2 0 00-3 (a) Find the eigenvalues. (b) Find the algebraic multiplicity m(A) and geometric multiplicity

Consider the matrix 2 1 0 A= 0 2 0 00-3 (a) Find the eigenvalues. (b) Find the algebraic multiplicity m(A) and geometric multiplicity r(A) of each eigen- value X. (c) Determine whether A is diagonalizable or not.

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