(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

For the following linear system:

[tex]\frac{dx}{dt}[/tex] = -2x

[tex]\frac{dy}{dt}[/tex] = -2y

Obtain the general solution.

2. Relevant equations

3. 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.

1. The problem statement, all variables and given/known data

2. Relevant equations

3. The attempt at a solution

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# Homework Help: Eigenvectors with a repeated eigenvalue

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