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Anabelle37
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Homework Statement
find the general solution to x'=Ax; where A is a 3x3matrix: A=[0 1 1; 1 0 1; 1 1 0]
Homework Equations
det(A-lambda*I)=0
The Attempt at a Solution
i found the eigenvalues to be 2, -1, -1.
for lambda=2 i found the corresponding eigenvector to be a 3x1 martrix v_1 = [1;1;1]
For lambda=-1 i am having trouble finding the eigenvectors. my A-lamda*I matrix is now a 3x3 matrix containing all 1's. how do I find the eigenvector?