Question: -2 1 -2 -4 12 1 4 9 A = 5 -2 -4 10 The characteristic polynomial of A is PA(x) = (x -1)(x -2)3

 -2 1 -2 -4 12 1 4 9 A = 5

-2 1 -2 -4 12 1 4 9 A = 5 -2 -4 10 The characteristic polynomial of A is PA(x) = (x -1)(x -2)3 Find the algebraic and geometric multiplicities of the eigenvalues of A. O a. aA(1) = 3, YA(1) = 2 aA(2) = 2, VA(2) = 3 O b. aA(1) = 1, VA(1) = 1 aA(2) = 2, VA(2) = 2 O c. aA(1) = 3, YA(1) = 3 a A(2) = 2, YA(2) = 2 O d. aA(1) = 1, VA(1) = 1 a A(2) = 3, VA(2) = 3 O e. aA(1) = 2, VA(1) = 2 aA(2) = 1, YA(2) = 1 Of. a (1) = 1, VA(1) = 1 aA(2) = 3, VA(2) = 1

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