M3 = √3 v/3 1 2√√3 √√3 2-3 0 2/ -2√3

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter9: Quadratic Functions And Equations
Section9.5: Solving Quadratic Equations By Completing The Square
Problem 52PFA
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Asked this question and got a wrong answer previously: Third, 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?

M3 =
√3
v/3
1 2√√3 √√3
2-3
0 2/
-2√3
Transcribed Image Text:M3 = √3 v/3 1 2√√3 √√3 2-3 0 2/ -2√3
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