1 2√3 √√3 2-3 2 M3 -2√3 0 107 56 20 " M4 56 23 -40 20-40 5

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section1.4: Fractional Expressions
Problem 4E
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show that v3 =  (−√3, −3, 3)⊤ is an eigenvector of M3 . Also here find the corresponding
eigenvalue λ3 . Just from looking at M3 and its components, can you say something about the remaining two
eigenvalues? If so, what would you say?

find v42 so that v4 = ( 2/5, v42, 1)⊤ is an eigenvector of M4 with corresp. eigenvalue λ4 = 45 

1 2√3 √√3
2-3
2
M3
-2√3
0
107
56 20
"
M4
56 23 -40
20-40
5
Transcribed Image Text:1 2√3 √√3 2-3 2 M3 -2√3 0 107 56 20 " M4 56 23 -40 20-40 5
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