A matrix A € M4 (R) has rank 2. Which of the following cannot be the characteristic polynomial of A? Explain your answer. p(t) = t¹ + 6t, q(t) = t¹ + 6t², r(t) = t¹ + 6t³ (Hint: what does null A have to do with the characteristic polynomial?)
A matrix A € M4 (R) has rank 2. Which of the following cannot be the characteristic polynomial of A? Explain your answer. p(t) = t¹ + 6t, q(t) = t¹ + 6t², r(t) = t¹ + 6t³ (Hint: what does null A have to do with the characteristic polynomial?)
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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Confused about how to determine it is a character polynimal. Thank you!
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