Answered: Given the characteristic polynomials…

Given the characteristic polynomials p(x) for matrix Anxn find (a) n (size of A) and (b) its eigenvalues a. p(x) = (x − 1)²(x + 2)² (x − 4) b. p(x) = x² -5x+6

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter9: Systems Of Equations And Inequalities

Section9.9: Properties Of Determinants

Problem 40E

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Question

Given the characteristic polynomials p(x) for matrix Anxn find (a) n (size of A)
and (b) its eigenvalues
a. p(x) = (x − 1)²(x + 2)² (x − 4)
b. p(x) = x² -5x+6

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