Question: Please refer to image This is a direction eld plot for the 2 x 2 system X' (t) = AX(t): 2- 1. (5 points) Sketch

Please refer to image

This is a direction eld plot for the 2 x 2 system X' (t) = AX(t): 2- 1. (5 points) Sketch the two straightline solutions and label them. 2. (5 points) Explain (in your own words) the connection between straight line solutions, eigenvectors, and the general solution. 3. (5 points) Use the plot to calculate the eigenvectors of A and relate them to your straightline solutions. 4. (5 points) Explain (in your own words) the signs of the eigenvalues of A. Can you say anything about the relative magnitude of the eigenvalues? The last quesiton is intentionally openended. Write down your thought process even if you aren't sure

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