Solving ODE with matrices

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I have an equation in ODE $M{'}(x)= M(x)*A(x)$. Issue here is $A(x) = C_1+C_2* x $ where $C_1,C_2 $ has dimension $3 \times 3$. And x is a scalar variable

Doubt

What is M(x)? Can any one give me the solution. Issue is matrix is involved

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$M(x)=e^{\int A(x)}=ke^{C_1x+\frac{1}{2}C_2x^2}$

where $k$ is found via boundary conditions. See matrix exponential.