Consider the polynomial ƒ(t) = tª + at³ +bt² + ct+d with indeterminate t. Le [000-d] 100-c 010-b 0 0 1 -a Prove that det(A — tỉ₁) = f(t). A =

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
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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 =
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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