In this question, pA(x) denotes the characteristic polynomial of an n × n matrix A and mA(x) denotes its minimal polynomial. (a) Working over R, find pA(x) and mA(x) for 0 2 4 A= 4 2 0 0 0 3 , which is a 3x3 matrix (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

In this question, pA(x) denotes the characteristic polynomial of an n × n matrix A and mA(x) denotes its minimal polynomial. (a) Working over R, find pA(x) and mA(x) for 0 2 4 A= 4 2 0 0 0 3 , which is a 3x3 matrix (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

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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