Part (a) Determine all values of h such that the matrix 5 -3 -1 1 2 3 -1 A = 1-2 2 5 1 3 h has eigenvalue 3. In each solution, the two occurrences of h in A have to be assigned the same value. Find exact solutions, not numerical approximations. Use the simplest possible method. Hint: Use a suitable determinant to obtain a polynomial equation for h.
Part (a) Determine all values of h such that the matrix 5 -3 -1 1 2 3 -1 A = 1-2 2 5 1 3 h has eigenvalue 3. In each solution, the two occurrences of h in A have to be assigned the same value. Find exact solutions, not numerical approximations. Use the simplest possible method. Hint: Use a suitable determinant to obtain a polynomial equation for h.
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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