23. The direction field and a few trajectories for a linear system of the form x' = Ax, whereA is a 2 x 2 matrix, are shown below. If ri and r2 denote the eigenvalues of A, what canyou conclude about r, and r2?32> o1 1 ↑ ↑ ↑ ↑ ↑-1* 1 1 1 ↑ ↑* 1 1 1 1* 1 1 ↑ ↑ ↑-2-3* 1. t 1 ↑1O r, and r2 are distinct and positiveO rị and r2 are complex and have negative real partO rị and r2 are complex and have positive real partO rị and r2 are distinct and negativerị and r2 have opposite signsコ→→→→-

Name: 23. The direction field and a few trajectories for a linear system of
Uploaded: 2024-03-20T06:46:03.000Z
Channel: Bartleby
Description: 23. The direction field and a few trajectories for a linear system of the form x' = Ax, whereA is a 2 x 2 matrix, are shown below. If ri and r2 denote the eigenvalues of A, what canyou conclude about r, and r2?32> o1 1 ↑ ↑ ↑ ↑ ↑-1* 1 1 1 ↑ ↑* 1 1 1