Problem 4 (6.24). Consider the model equation y' = Ay+g(t) = 2 with A a square matrix of order m. Assume 1 = P-1DP, with

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Problem 4 6 24 Consider The Model Equation Y Ay G T 2 With A A Square Matrix Of Order M Assume 1 P 1dp With 1 (70.49 KiB) Viewed 29 times

Problem 4 (6.24). Consider the model equation y' = Ay+g(t) = 2 with A a square matrix of order m. Assume 1 = P-1DP, with D a diagonal matrix with entries 11,..., Im. Introduce the new unknown vector function z=P-ly(t). Show that the above equation coverts to the form of z = lizi + vi(t), 1 <i<m, = demonstrating the reduction to the one-dimensional model equation.