m 2. A square matrix A is called idempotent if A² = A. Show that if X is an of an idempotent matrix. then A= 0 or λ = 1.
m 2. A square matrix A is called idempotent if A² = A. Show that if X is an of an idempotent matrix. then A= 0 or λ = 1.
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter7: Eigenvalues And Eigenvectors
Section7.1: Eigenvalues And Eigenvectors
Problem 79E
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![Problem 2. A square matrix A is called idempotent if A² = A. Show that if A is an
eigenvalue of an idempotent matrix, then λ = 0 or λ = 1.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F47d370c3-9e4b-442d-9a89-d591c5ced338%2Fde84b882-a8f0-4d6e-a629-8d2108b047b0%2F7u5ty5i_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Problem 2. A square matrix A is called idempotent if A² = A. Show that if A is an
eigenvalue of an idempotent matrix, then λ = 0 or λ = 1.
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