The quadratic form of the potential energy for a three degree-of-freedom system is [ V=5 x_{1}^{2}+4 x_{1}
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The quadratic form of the potential energy for a three degree-of-freedom system is
\[ V=5 x_{1}^{2}+4 x_{1} x_{2}+2 x_{1} x_{3}+8 x_{2}^{2}+3 x_{2} x_{2}+6 x_{3}^{2} \]
Determine the stiffness matrix for the system.
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