, a linear operator and a scalar λ are given. Show that is an eigenvalue of the operator and determine a basis for its eigenspace. X1 33. T (G) - L X1 - 2x2 6x16x2 λ = -2

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter5: Orthogonality
Section5.4: Orthogonal Diagonalization Of Symmetric Matrices
Problem 16EQ
Question
, a linear operator and a scalar λ are given.
Show that is an eigenvalue of the operator and determine a
basis for its eigenspace.
X1
33. T
(G) - L
X1 - 2x2
6x16x2
λ = -2
Transcribed Image Text:, a linear operator and a scalar λ are given. Show that is an eigenvalue of the operator and determine a basis for its eigenspace. X1 33. T (G) - L X1 - 2x2 6x16x2 λ = -2
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