In this question, pд(x) denotes the characteristic polynomial of an n × n matrix A and mд(x) denotes its minimal polynomial. (a) Working over R, find pÂ(x) and m₁(x) for A: = 0 2 4 420 003 (b) Can the matrix in part (a) be diagonalised over R? Justify your answer. (c) Repeat parts (a) and (b) with R replaced by F5

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