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Snippy
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Homework Statement
For the following linear system:
[tex]\frac{dx}{dt}[/tex] = -2x
[tex]\frac{dy}{dt}[/tex] = -2y
Obtain the general solution.
Homework Equations
The Attempt at a Solution
A= -2 0
0 -2
Using the determinant of A-[tex]\lambda[/tex]I I got a repeated eigenvalue of -2. I am not sure how to get the eigenvectors since substituting -2 back into A-[tex]\lambda[/tex]I will give a matrix of zeroes. I checked with MATLAB and the eigenvectors should be (1,0) and (0,1) but I have no idea how to get them.