Which of the following linear transformation has A) B) C) G: R² → R² H: P2 → P2 J: R² → R² 2 which is defined as the reflection in the line C) None of the above λ = 0 as an eigenvalue? which is defined as the derivative X1 = x2. H (p (x)) = p' (x)). as which is defined as the rotation (counterclockwise) with angle π.

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter7: Eigenvalues And Eigenvectors
Section7.CR: Review Exercises
Problem 16CR
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2:
Which of the following linear transformation has X = 0 as an eigenvalue?
A)
B)
C)
G: R² → R²
H: P2 → P2
J: R² → R²
C) None of the above
which is defined as the reflection in the line x1 = x₂.
which is defined as the derivative H (p(x)) = p′ (x)).
as which is defined as the rotation (counterclockwise) with
angle π.
Transcribed Image Text:2: Which of the following linear transformation has X = 0 as an eigenvalue? A) B) C) G: R² → R² H: P2 → P2 J: R² → R² C) None of the above which is defined as the reflection in the line x1 = x₂. which is defined as the derivative H (p(x)) = p′ (x)). as which is defined as the rotation (counterclockwise) with angle π.
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