possible minimal polynomial A, A², A³ -3 1 1 -6 2 2 -3 1 1 A = A #0 A is not minimal polynomial -3 1 1 -6 22 -3 1 1 A² = = -3 1 11 -6 22 -3 1 1 0 0 01 000 000 A² is minimal polynomial

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.3: Zeros Of Polynomials
Problem 54E
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How come A ≠ 0? How do you get A^2 = [0 0 0 000 000]?
7:58
个
Step3
c)
possible minimal polynomial λ, A², A³
-3 1 1'
A-6 2 2
3 1 1
A #0
A is not minimal
-3 1 1
A² = -6 22
-3 1 1
=
polynomial
ГО О О
000
000
A² is minimal polynomial
-3 1 17
-6 22
-3 1 1
No
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Transcribed Image Text:7:58 个 Step3 c) possible minimal polynomial λ, A², A³ -3 1 1' A-6 2 2 3 1 1 A #0 A is not minimal -3 1 1 A² = -6 22 -3 1 1 = polynomial ГО О О 000 000 A² is minimal polynomial -3 1 17 -6 22 -3 1 1 No Was this solution helpful? Yes √x DO
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