Question: I was able to find that the eigen values were -1, 2, and 2, but I solved for these eigne values like a regular matrix.

I was able to find that the eigen values were -1, 2, and 2, but I solved for these eigne values like a regular matrix. How do I know which goes to which and how does this fall in place with the general solution?
I was able to find that the eigen values were -1, 2,

10] Consider an initial value problem of differential equations: x=2x+3y3z,y=4x+2y4z,z=4x+3y5z,x(0)=1,y(0)=1,z(0)=2. (a) Rewrite the initial value problem in matrix-vector form. (b) Find x(t),y(t), and z(t)

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