query: Matrices such that $M+M^T$ is positive-definite
positive_passages.docid: 158205
positive_passages.text: If $A+A^T$ is negative definite, then the eigenvalues of $A$ have negative real parts?
negative_passages.docid: 30268
negative_passages.text: Positive definite matrix must be Hermitian
negative_passages.docid: 17421
negative_passages.text: Linear Algebra: Find a matrix A such that T(x) is Ax for each x
negative_passages.docid: 29454
negative_passages.text: A and B are real, symmetric and positive semi-definite matrices of the same order; is AB diagonalizable?
negative_passages.docid: 73807
negative_passages.text: Prove positive definiteness
negative_passages.docid: 114208
negative_passages.text: Does non-symmetric positive definite matrix have positive eigenvalues?
negative_passages.docid: 61538
negative_passages.text: Given a square matrix $A$, both $AA^T$ and $A^TA$ are symmetric
negative_passages.docid: 88820
negative_passages.text: Three linked question on non-negative definite matrices.
negative_passages.docid: 44652
negative_passages.text: Minimum and Maximum eigenvalue inequality from a positive definite matrix.
negative_passages.docid: 85550
negative_passages.text: Positive definiteness of difference of inverse matrices
negative_passages.docid: 82962
negative_passages.text: Partial Ordering of Positive Definite Matrices
negative_passages.docid: 117293
negative_passages.text: sufficient and necessary conditions for matrix to be diagonalize or triangular
negative_passages.docid: 6659
negative_passages.text: Approximating commuting matrices by commuting diagonalizable matrices
negative_passages.docid: 13723
negative_passages.text: Doubly stochastic matrix proof
negative_passages.docid: 63260
negative_passages.text: Matrices whose Linear Combinations are All Singular
negative_passages.docid: 52882
negative_passages.text: find nonsingular matrices $B$ and $C$ that satisfy $BC+ CB= 0$
negative_passages.docid: 108012
negative_passages.text: A matrix $M$ that commutes with any matrix is of the form $M=\alpha I$