Question: DFQ Class Write the model from above in the matrix-vector form MX = KX. mx_1 = - kx_1 + kf (t) - kx_1 + kx_2

DFQ Class Write the model from above in the matrix-vector form

DFQ Class

Write the model from above in the matrix-vector form MX" = KX. mx"_1 = - kx_1 + kf (t) - kx_1 + kx_2 mx"_2 = - kx_2 + kx_1 - kx_2 + kx_3 mx"_2 = - kx_3 + kx_2 - kx_3 + kx_4 mx"_4 = - kx_4 + kx_3 m (x_1 x_2 x_3 x_4)" = - k (2 - 1 0 0 - 1 2 - 1 0 0 - 1 2 - 1 0 0 - 1 1) (x_1 x_2 x_3 x_4) + kf (t) Write the matrix-vector system above in the form X" = AX, and describe the steps taken to arrive at this setup; more specifically, how did you get the matrix A? Next, using MATLAB, find all of the eigenvalues for the matrix A. Are your eigenvalues positive, negative, complex, or a mixture? What do these results mean with respect to the stability of the building? Include the MATLAB results with your submission

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