query: Does a correlation matrix of two variables always have the same eigenvectors?
positive_passages.docid: 154757
positive_passages.text: One component in PCA is always the mean vector in two-dimensions but not three
negative_passages.docid: 91409
negative_passages.text: Semi positive definite matrix is always positive definite matrix
negative_passages.docid: 53993
negative_passages.text: Can Eigenvalues[] and Eigenvectors[] be assumed to return the same ordering?
negative_passages.docid: 24454
negative_passages.text: The relationship between the eigenvalues of matrices $XY$ and $YX$
negative_passages.docid: 35278
negative_passages.text: Does equality of characteristic polynomials guarantee equivalence of matrices?
negative_passages.docid: 154640
negative_passages.text: Do Diagonal Matrices Always Commute?
negative_passages.docid: 131026
negative_passages.text: Covariance and independence?
negative_passages.docid: 30665
negative_passages.text: Elegant proofs that similar matrices have the same characteristic polynomial?
negative_passages.docid: 21808
negative_passages.text: Does correlation assume stationarity of data?
negative_passages.docid: 151594
negative_passages.text: Systems of linear differential equations - eigenvectors
negative_passages.docid: 104875
negative_passages.text: what is the variance of a constant matrix times a random vector?
negative_passages.docid: 152395
negative_passages.text: Random matrix theory impact on covariance matrix analysis
negative_passages.docid: 114208
negative_passages.text: Does non-symmetric positive definite matrix have positive eigenvalues?
negative_passages.docid: 122951
negative_passages.text: If the $\det(A)=0$ why does the matrix $A$ have an eigenvector?
negative_passages.docid: 102317
negative_passages.text: Is there a geometrical interpretation to the notion of eigenvector and eigenvalues?
negative_passages.docid: 134031
negative_passages.text: Is the covariance of standardized variables the correlation?
negative_passages.docid: 95717
negative_passages.text: Same eigenvalues, but not similar