Consider the following simultaneous equation (with c 1 and c 2 beings constants): 3x 1 + 2x 2 = c 1 4x 1 + x 2 = c 2 The characteristic equation for these simultaneous equations is

Correct Answer is : λ2 – 4λ – 5 = 0

GATE Civil Engineering (CE) 2017 Shift 2 Solved Paper

Question : 11 of 65

Marks: +1, -0

Consider the following simultaneous equation (with c₁ and c₂ beings constants):
3x₁ + 2x₂ = c₁
4x₁ + x₂ = c₂
The characteristic equation for these simultaneous equations is

λ² – 4λ – 5 = 0
λ² – 4λ + 5 = 0
λ² + 4λ – 5 = 0
λ²+ 4λ + 5 = 0

Validate

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