Question: Please solve this question with explaination . Please show every steps (a) Determine whether the polynomials 1 + 3x + 3x2, x + 4x2, 5

Please solve this question with explaination . Please show every steps

Please solve this question with explaination .
(a) Determine whether the polynomials 1 + 3x + 3x2, x + 4x2, 5 + 6x + 3x2, 7 + 2x - x2 linearly dependent or linearly independent in P2 (b) Define Cayley-Hamilton theorem and find the inverse of A. 1 2 2 Where, A= 3 10 1 1 1

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