In: Advanced Math
The eigenvalues of the coefficient matrix can be found by inspection or factoring. Apply the eigenvalue method to find a general solution of the system.
x'1 = 6x1 + 6x2 + 2x3
x'2 = -8x1 - 8x2 - 6x3
x'3 = 8x1 + 8x2 + 6x3
What is the general solution in matrix form?
x(t) =