Matrix B below has a determinant of 4, det (B) = 4, and has eigenvalues (with multiplicity accounted for) 2 = 1, å, = - 2, and 23 = - 2. 2 4 3 B = |-4 -6 -3 3 3 1 (a) Calculate the trace of B. (b) Calculate the sum of the eigenvalues of B (you need to "use" -2 twice). (c) Calculate the product of the eigenvalues of B (you need to "use" -2 twice).

Matrix B below has a determinant of 4, det (B) = 4, and has eigenvalues (with multiplicity accounted for) 2 = 1, å, = - 2, and 23 = - 2. 2 4 3 B = |-4 -6 -3 3 3 1 (a) Calculate the trace of B. (b) Calculate the sum of the eigenvalues of B (you need to "use" -2 twice). (c) Calculate the product of the eigenvalues of B (you need to "use" -2 twice).

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 15CR: For what values of a does the matrix A=[01a1] have the characteristics below? a A has eigenvalue of...

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