23. The direction field and a few trajectories for a linear system of the form x' = Ax, where A is a 2 x 2 matrix, are shown below. If ri and r2 denote the eigenvalues of A, what can you conclude...

Extracted text: 23. The direction field and a few trajectories for a linear system of the form x' = Ax, where A is a 2 x 2 matrix, are shown below. If ri and r2 denote the eigenvalues of A, what can you conclude about r, and r2? 3 2 > o 1 1 ↑ ↑ ↑ ↑ ↑ -1 * 1 1 1 ↑ ↑ * 1 1 1 1 * 1 1 ↑ ↑ ↑ -2 -3 * 1. t 1 ↑ 1 O r, and r2 are distinct and positive O rị and r2 are complex and have negative real part O rị and r2 are complex and have positive real part O rị and r2 are distinct and negative rị and r2 have opposite signs コ→→→→ -