Let A = 1 0 2 2 0 1 1 20 01 2 1002_ (a) Find the characteristic polynomial p(x) working over the field R. (b) Find the characteristic polynomial p(x) working over the field F3. Select one: O None of the others apply ○ (a) р₁(x) = x²(x² - 1) (b) p₁(x) = x²(x + 1)(x + 2) ○ (a) p₁(x) = (x + 1)(x³ + 3x² +1) (b) p₁(x) = (x + 1)4 ○ (a) P₁(x) = x(x³ - x² − x + 1) (b) p₁(x) = x(x + 1)(x + 2)² ○ (a) p₁(x) = (x − 1)(x³ − 4x² + 4x −9) (b) p₁(x) = x(x + 1)²(x + 2) -

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