h1>
    
      Consider the following dynamical system

      \begin{equation}
      \dot{x} = A^T\,\text{softmax}(\beta\, A\, x) - x
      \end{equation}
      where $A\in\mathbb{R}^{m\times n}$ and $\beta\in\mathbb{R}$ are a constant matrix and a scalar, respectively, and the softmax function is given by $\text{softmax}(z)_i = \frac{e^{z_i}}{\sum_k e^{z_k}}$. 
      
      <ol type="a">
        <li> Draw the phase portrait of the system with constants $\beta=5$ and $A=\begin{bmatrix}1&0 \\ 0&1 \\ -1&-1\en