Find the matrix exponential eAt for the given system 2 1 -5 (t) 0 2 3...

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Find the matrix exponential eAt for the given system 2 1 -5 (t) 0 2 3 T(t) 0 0 1 Then use it to find a solution satisfying the initial condition 7(0) -1 Note: The coefficient matrix A is the sum of a nilpotent matrix and a multiple of the identity matrix. Find the matrix exponential eAt for the given system 2 1 -5 (t) 0 2 3 T(t) 0 0 1 Then use it to find a solution satisfying the initial condition 7(0) -1 Note: The coefficient matrix A is the sum of a nilpotent matrix and a multiple of the identity matrix.