Is There a Build in Function That Calculates Eigenvectors in Julia
I Would Like to Find the Eigenvector Q of Following Equation: Q * Q = 0 Where Q Is a Square Matrix with Known Values. Like Shown in the Image Below I Used an...
I would like to find the eigenvector q of following equation:
Q * q = 0
where Q is a square matrix with known values.
Like shown in the image below I used an example where I already calculated q.
I thought that the function eigvecs() would calculate the vector q and not a new sqaure matrix.
Is there another function or perhaps a different way to calculate q?
1 Answer
Eigenvectors are not uniquely defined.
If u is an eigenvector of Q corresponding to eigenvalue a (0 in your case) then for any non-zero scalar x x*u is also an eigenvector of Q corresponding to the same eigenvalue.
If you look at the third column of eigvecs(Q) above, you will see that it is (1/2 1/3 1/6) scaled by ~ 1.603568
Robert Thorne covers electric vehicle innovations, autonomous driving systems, global mobility trends, and automotive engineering developments.
