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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).

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Matrix B below has a determinant of 4, det (B) = 4, and has eigenvalues (with multiplicity accounted for) 1, = 1, d, = - 2, and 13 = - 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).
Transcribed Image Text:Matrix B below has a determinant of 4, det (B) = 4, and has eigenvalues (with multiplicity accounted for) 1, = 1, d, = - 2, and 13 = - 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).
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