query: If $A$ is a symmetric positive-definite matrix then $U = V$ in the SVD
positive_passages.docid: 153127
positive_passages.text: Is $U=V$ in the SVD of a symmetric positive semidefinite matrix?
negative_passages.docid: 30268
negative_passages.text: Positive definite matrix must be Hermitian
negative_passages.docid: 125569
negative_passages.text: Prove that the eigenvalues of a real symmetric matrix are real
negative_passages.docid: 105293
negative_passages.text: Proof of the second symmetric derivative
negative_passages.docid: 73229
negative_passages.text: Why the SVD is named so...
negative_passages.docid: 91409
negative_passages.text: Semi positive definite matrix is always positive definite matrix
negative_passages.docid: 87318
negative_passages.text: Why are symmetric positive definite (SPD) matrices so important?
negative_passages.docid: 72375
negative_passages.text: Efficiently Constructing Rank One Approximations for a Matrix using SVD
negative_passages.docid: 75211
negative_passages.text: Theorem about positive matrices
negative_passages.docid: 60723
negative_passages.text: Prove that if $A$ is normal, then eigenvectors corresponding to distinct eigenvalues are necessarily orthogonal (alternative proof)
negative_passages.docid: 146316
negative_passages.text: what is no. of positive eigen value of symmetric matrix A with some given relationship
negative_passages.docid: 38266
negative_passages.text: How to prove that exponential kernel is positive definite?
negative_passages.docid: 54211
negative_passages.text: If $A$ and $B$ are positive definite, then is $B^{-1} - A^{-1}$ positive semidefinite?
negative_passages.docid: 133449
negative_passages.text: A proof that an orthogonal matrix with a determinant 1 is a rotation matrix
negative_passages.docid: 116309
negative_passages.text: Is this matrix positive semi-definite?
negative_passages.docid: 70021
negative_passages.text: Verify if symmetric matrices form a subspace
negative_passages.docid: 144097
negative_passages.text: eigenvalues and eigenvectors of $vv^T$