Find the minimal polynomial m₁(x) of A = Is A diagonalisable over this field? Select one: 1 2 3 3 1 2 working over the field F5. 2 1 3 m₁(x) = (x + 1)(4+x+x²). Hence A is not diagonalisable. m₁(x) = x + 1. Hence A is diagonalisable. m₁(x) = (x+3)²(x + 4). Hence A is not diagonalisable. m₁(x) = (x + 1)(x + 2). Hence A is diagonalisable. None of the others apply

Find the minimal polynomial m₁(x) of A = Is A diagonalisable over this field? Select one: 1 2 3 3 1 2 working over the field F5. 2 1 3 m₁(x) = (x + 1)(4+x+x²). Hence A is not diagonalisable. m₁(x) = x + 1. Hence A is diagonalisable. m₁(x) = (x+3)²(x + 4). Hence A is not diagonalisable. m₁(x) = (x + 1)(x + 2). Hence A is diagonalisable. None of the others apply

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter8: Polynomials

Section8.4: Zeros Of A Polynomial

Problem 1E: 1. Find a monic polynomial of least degree over that has the given numbers as zeros, and a monic...

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