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Consider the matrix A = ol: The characteristic polynomial of A is p(A) = X² –A-1. What happens when we substitute A into this polynomial? L.e., what is A² – A – I?

Consider the matrix A = ol: The characteristic polynomial of A is p(A) = X² –A-1. What happens when we substitute A into this polynomial? L.e., what is A² – A – I?

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.6: The Algebra Of Matrices
Problem 13E
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i. Consider the matrix A = The characteristic polynomial of A is p(A) = X² – A–1. What happens when we substitute A into this polynomial? I.e., what is A² – A – I?
Transcribed Image Text:i. Consider the matrix A = The characteristic polynomial of A is p(A) = X² – A–1. What happens when we substitute A into this polynomial? I.e., what is A² – A – I?
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