Consider the linear system $\boldsymbol{\vec{y}^{\,\prime}}(t) = A \boldsymbol{\vec{y}}(t)$, where $A$ is a real $2 \times 2$ constant matrix with repeated eigenvalues. Use the given information to determine the matrix $A$.

All phase plane solution points remain stationary as $t$ increases.

$A =$ $\left[\Rule{0pt}{2.4em}{0pt}\right.$$\left]\Rule{0pt}{2.4em}{0pt}\right.$