MAD4401Quiz4 - MAD 4401 Quiz 4 James Keesling 1 Linear...

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MAD 4401 Quiz 4 James Keesling 1 Linear Ordinary Differential Equations Problem 1.1. Solve the following systems of ordinary differential equations using matrix methods. d 2 x dt 2 = 4 x d 2 x dt 2 - 3 · dx dt + 2 x = 0 2 Matrix Norms and Condition Number Problem 2.1. Compute the operator norm for the following matrix. Do this for the max- imum norm and for the sum norm. 1 2 0 - 1 7 0 - 1 100 0 - 32 0 17 0 0 - 320 67 0 32 10 3 - 7 0 5 - 2 1 - 13 - 7 2 1 - 25 2 5 - 720 0 51 3 Problem 2.2. Determine the condition number for the matrix in Problem 2.1 for both the maximum norm and for the sum norm.
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