Why eigen vector looks different than the calculated one

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

 채택된 답변

Torsten
Torsten 2024년 3월 13일
편집: Torsten 2024년 3월 13일
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

추가 답변 (0개)

카테고리

도움말 센터File Exchange에서 Linear Algebra에 대해 자세히 알아보기

질문:

2024년 3월 13일

댓글:

2024년 3월 16일

Community Treasure Hunt

Find the treasures in MATLAB Central and discover how the community can help you!

Start Hunting!

Translated by