O 4) Suppose E is a 3x3 matrix with eigenvalues 2=1, 2=2 and 2=-2 A) what is the determinant of E? 15) Find det (E-2 I)? c) what is the trace of E²? D) what is the rank of E+I? E) what is the rank of E-I? en

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.8: Determinants
Problem 7E
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can you please help me with this problem and the given parts below because I don't know how to solve this problem and the parts can you please help me and can you label the parts as well so I can follow along, thank you so muuch

O
4) Suppose E is a 3x3 matrix with eigenvalues 2=1, 2=2 and
2=-2
A) what is the determinant of E?
15) Find det (E-2 I)?
c) what is the trace of E²?
D) what is the rank of E+I?
E) what is the rank of E-I?
en
Transcribed Image Text:O 4) Suppose E is a 3x3 matrix with eigenvalues 2=1, 2=2 and 2=-2 A) what is the determinant of E? 15) Find det (E-2 I)? c) what is the trace of E²? D) what is the rank of E+I? E) what is the rank of E-I? en
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