Which of the following statements hold for the minimal polynomials of matrices? (i) Nonsimilar matrices cannot have the same minimal polynomials. (ii) The minimal polynomial and the characteristic polynomial for a matrix A have the same linear factors. (iii) If the scalar > is an eigenvalue of a matrix A then 2 is a root of the minimal polynomial of A. O A. Only (ii) and (iii) O B. Only (i) and (iii) O C. All of the given statements. O D. None of the given statements. O E. Only (i) and (ii)

Which of the following statements hold for the minimal polynomials of matrices? (i) Nonsimilar matrices cannot have the same minimal polynomials. (ii) The minimal polynomial and the characteristic polynomial for a matrix A have the same linear factors. (iii) If the scalar > is an eigenvalue of a matrix A then 2 is a root of the minimal polynomial of A. O A. Only (ii) and (iii) O B. Only (i) and (iii) O C. All of the given statements. O D. None of the given statements. O E. Only (i) and (ii)

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter9: Systems Of Equations And Inequalities

Section9.8: Determinants

Problem 38E

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