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Why eigen vector looks different than the calculated one

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Ismita
Ismita 2024-3-13
评论： Ismita 2024-3-16
Ran in:
I have a matrix A = [7, 3; 3, -1]; Calculated eigen value = (-2, 8) and eigen vcetor = (1, -3). The code gives different eigen vector. Could you please clarify the reason/ how can I solve that? thanks
A = [7, 3; 3, -1];
[v, d] = eig(A)
v = 2×2
0.3162 -0.9487 -0.9487 -0.3162
d = 2×2
-2 0 0 8

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Torsten
Torsten 2024-3-13
编辑：Torsten 2024-3-13
Ran in:
Eigenvectors are only unique up to a multiplicative constant, and MATLAB's eigenvectors are normalized to be of norm 1:
[1;-3]/norm([1;-3])
ans = 2×1
0.3162 -0.9487

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