(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

G(t) is nxn matrix depends on t.

Show that solutions of x'=G(t)x form an n-dim subspace of C^{1}(R^{+},R^{n}).

3. The attempt at a solution

So I can show closure, addition of solutions returns some combo inside R^n, and same with scalar multiplication. I need to show dimension..

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# Homework Help: Differential equations. linear system.

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