Suppose a system of differential equations can be written in matrix form as Г dx * 3* ** dt dt dz dt = A x(t) = = where A is a 3 x 3 matrix. = 8 S y(t) = = z(t) = Z If A has eigenvalues 7, -1,8 with corresponding eigenvectors -2 000 general solution to the system. (Use c₁ for terms involving eigenvalue 7, c₂ for terms involving eigenvalue -1, and c3 for terms involving eigenvalue 8.) I write the

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A: Explanation of the answer is as follows

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A: Solution is given below:

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A: Given below the detailed solution

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Q: How many elements does it contain?  I forgot to add that part.

A: From the above part we haven(C) = n(B) ={ (1,4),(4,1),(2,3),(3,2) }n(CB) = { (2,3),(3,2) }