Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.3: Zeros Of Polynomials
Problem 3E
Related questions
Question
![Consider the polynomial ƒ(t) = tª + at³ +bt² + ct+d with indeterminate t. Let
[000-d]
100-c
010-b
0 0 1 -a
Prove that det(A - tI₁) = f(t).
A =](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ffac9c7c8-0bf2-489c-b48d-8061944140b1%2Fa25802bf-b798-43c9-af86-16718448060c%2Fm82be0j_processed.png&w=3840&q=75)
Transcribed Image Text:Consider the polynomial ƒ(t) = tª + at³ +bt² + ct+d with indeterminate t. Let
[000-d]
100-c
010-b
0 0 1 -a
Prove that det(A - tI₁) = f(t).
A =
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