Chapter 6.1, Problem 11P

Determine the matrix $K$ and input $g(t)$ if the $(23)$ is to be expressed using matrix notation

$x_1\text{'}=\left(L+k_{12}{x}_2+k_{13}{x}_3\right)-\left(k_{21}+k_{31}+k_{01}\right)x_1$,

$x_2\text{'}=k_{12}{x}_1-\left(k_{02}+k_{12}\right)x_2$,          $(23)$

$x_3^{\text{'}}=k_{31}{x}_1-k_{13}{x}_3$.