8. λε = Assume that a 3×3 matrix A has three eigenvalues λ1, №2 and λ3. If λ₁ = 2, -3 and the trace of A is 6. Then λ3 is equal to (a) 7 (b) 3; (c) 1; (d) 4; (e) None of these abc d e

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter10: Matrices
Section10.CR: Chapter 10 Review
Problem 60CR
Question

Q8, please show work and show work in simplest way possible. Thanks.

8.
λε
=
Assume that a 3×3 matrix A has three eigenvalues λ1, №2 and λ3. If λ₁ = 2,
-3 and the trace of A is 6. Then λ3 is equal to
(a) 7 (b) 3; (c) 1; (d) 4; (e) None of these
abc d e
Transcribed Image Text:8. λε = Assume that a 3×3 matrix A has three eigenvalues λ1, №2 and λ3. If λ₁ = 2, -3 and the trace of A is 6. Then λ3 is equal to (a) 7 (b) 3; (c) 1; (d) 4; (e) None of these abc d e
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