Question: Please show the steps how to solve this, Thank you! Consider the linear system y'=Ay, where A is a real 2x2 constant matrix with repeated

Please show the steps how to solve this, Thank you!

Consider the linear system y'=Ay, where A is a real 2x2 constant matrix with repeated eigenvalues. Determine the matrix A given this information:

Phase plane solution trajectories have horizontal tangents on the line y2=2y1, and vertical tangents on the line y1=0. The matrix A has a nonzero repeated eigenvalue and

a21= -2.

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