Question: Each coefficient matrix A in Problems 25 through 30 is the sum of a nilpotent matrix and a multiple of the identity matrix. Use this

Each coefficient matrix A in Problems 25 through 30 is the sum of a nilpotent matrix and a multiple of the identity matrix. Use this fact (as in Example 6) to solve the given initial value problem.

x' = 300 00 6 3 00 96 3 0 12 9

6 3 X, x(0)

x' = 300 00 6 3 00 96 3 0 12 9 6 3 X, x(0)

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