uppose that 4 × 4 real matrix A has four eigenvalues 1, 2 and 1±i, which ne is wrong? Here I is a 4 × 4 identity matrix. Answer: The power method for matrix A is used to find the eigenvaule 2. . The inverse power method for matrix A is used to find the eigenvaule 1. The power method for matrix (A–0.51) is used to find the eigenvaule 2. . The inverse power method for matrix (A-0.5I) is used to find the eigenvaule

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 80E
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Suppose that 4 × 4 real matrix A has four eigenvalues 1, 2 and 1+i, which
one is wrong? Here I is a 4 × 4 identity matrix. Answer:
A. The power method for matrix A is used to find the eigenvaule 2.
B. The inverse power method for matrix A is used to find the eigenvaule 1.
C. The power method for matrix (A-0.5I) is used to find the eigenvaule 2.
D. The inverse power method for matrix (A-0.51) is used to find the eigemvaule 2.
Transcribed Image Text:Suppose that 4 × 4 real matrix A has four eigenvalues 1, 2 and 1+i, which one is wrong? Here I is a 4 × 4 identity matrix. Answer: A. The power method for matrix A is used to find the eigenvaule 2. B. The inverse power method for matrix A is used to find the eigenvaule 1. C. The power method for matrix (A-0.5I) is used to find the eigenvaule 2. D. The inverse power method for matrix (A-0.51) is used to find the eigemvaule 2.
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