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Find a 3 x 3 matrix a11 a12 a13 A = a21 a22 a23 a31 a32 a33 satisfying the following properties: • A has two eigenvalues: A1 = 3 and A2 = -5. 01 2 and v2 2 3 are eigenvectors of A corresponding to A1. • The vectors vị = 11 0 is an eigenvector of A corresponding to X2. • The vector v3 =

Find a 3 x 3 matrix a11 a12 a13 A = a21 a22 a23 a31 a32 a33 satisfying the following properties: • A has two eigenvalues: A1 = 3 and A2 = -5. 01 2 and v2 2 3 are eigenvectors of A corresponding to A1. • The vectors vị = 11 0 is an eigenvector of A corresponding to X2. • The vector v3 =

Elementary Linear Algebra (MindTap Course List)
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter7: Eigenvalues And Eigenvectors
Section7.CM: Cumulative Review
Problem 19CM: In Exercises 19-22, find the eigenvalues and the corresponding eigenvectors of the matrix. [7223]
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Enter the matrix A:
Transcribed Image Text:Enter the matrix A:
Find a 3 x 3 matrix a11 a12 a13 A = a22 a23 a21 a31 a32 a33 satisfying the following properties: • A has two eigenvalues: A1 = 3 and A2 = -5. 2 3 are eigenvectors of A corresponding to A1. • The vectors v1 2 and v2 1 • The vector v3 = 0 is an eigenvector of A corresponding to X2.
Transcribed Image Text:Find a 3 x 3 matrix a11 a12 a13 A = a22 a23 a21 a31 a32 a33 satisfying the following properties: • A has two eigenvalues: A1 = 3 and A2 = -5. 2 3 are eigenvectors of A corresponding to A1. • The vectors v1 2 and v2 1 • The vector v3 = 0 is an eigenvector of A corresponding to X2.
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