GATE CE 2017 Set 2 — Question 1
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Engineering Mathematics → Linear Algebra → Characteristic Equation
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Question
Consider the following simultaneous equations (with and being constants):
The characteristic equation for these simultaneous equations is
The characteristic equation for these simultaneous equations is
Correct answer
(A) λ² - 4 λ - 5 = 0
Solution
The system of equations can be written in matrix form as , where the coefficient matrix is:The characteristic equation is given by :Thus, the correct option is (A).
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