Given the following matrix: A = 1 -1 4 -1 2 0 1 3 -1 Complete the following: a) Its characteristic polynomial P(x)? b) An eigenvalue, other than 3, of matrix A corresponds to? c) The greatest algebraic multiplicity of the eigenvalues of matrix A corresponds to?

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A: Since you have asked multiple question, we will solve the first question for you. If you want any…