Question: Converting a fundamental set to matrix

 

How would I turn this set into matrix form?

would it be possible to seperate the matrix form into:

v1e^(lamba*t) + v2e^(lambda2*t) .... + v^ne^(lambdan*t) where v1, v2, and vn are the eigenvectors and lamba1, lambda2, and lamban are their respective eigenvectors.

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