text 1 vecxprimeleftbeginarrayll 2 3 3 2 endarrayright vecx a draw dir

Question

\text { 1. } \vec{x}^{\prime}=\left[\begin{array}{ll}
2 & 3 \\
3 & 2
\end{array}\right] \vec{x} (a) Draw direction field. Use the points: (0,0), (±1,0), (0,±1), (±1,±1). (b) Draw the phase portrait. (c) Classify the equilibrium solution with its stability. Suppose 2x2 matrix A has eigenvalues –3 and –1 with eigenvalues 1/1 and 1/-2 Find the general solution of 7' = A7. - Draw the phase portrait. (c) Classify the equilibrium solution with its stability. 1and3[:]3. Suppose 2 × 2 matrix A has eigenvalues {1/3] ans {1*1] O Find the general solution of 7' = A7. (b) Draw the phase portrait. (c) Classify the equilibrium solution with its stability.