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Which are eigenvectors of the operator S:R^3->R^3 defined by S(x,y,z)=(y+z,x+z,x+y) ? Check all that apply. * O (1,-1,0) (1,1,1) O (1,0,1) O (0,1,0) O (-2,0,2)

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Question

Which are eigenvectors of the
operator S:R^3->R^3 defined by
S(x,y,z)=(y+z,x+z,x+y) ? Check all
that apply. *
(1,-1,0)
(1,1,1)
(1,0,1)
(0,1,0)
(-2,0,2)

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