For which values λ ∈ R has the system 8z − 3x − 6y = λx 2x + y + 4z = λy 4x + 3y + z = λz infinitely many solutions? Find the solution of the system for the greatest obtained value λ.
For which values λ ∈ R has the system 8z − 3x − 6y = λx 2x + y + 4z = λy 4x + 3y + z = λz infinitely many solutions? Find the solution of the system for the greatest obtained value λ.
Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter11: Systems Of Equations
Section11.1: Systems Of Two Linear Equations In Two Variables
Problem 91PS
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For which values λ ∈ R has the system
8z − 3x − 6y = λx 2x + y + 4z = λy 4x + 3y + z = λz
infinitely many solutions? Find the solution of the system for the greatest obtained value λ.
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