query: Find matrices $X$ such that for any matrix $Y$ we have $\det(X^2 + Y^2) \geq 0$
positive_passages.docid: 147207
positive_passages.text: Is it always true that $\det(A^2+B^2)\geq0$?
negative_passages.docid: 113518
negative_passages.text: Determinant of the inverse matrix
negative_passages.docid: 75104
negative_passages.text: Existence of some type matrix
negative_passages.docid: 150714
negative_passages.text: Quick question: matrix with norm equal to spectral radius
negative_passages.docid: 55159
negative_passages.text: Find all matrices that commute with given matrix
negative_passages.docid: 123366
negative_passages.text: Determinant of block matrices with non-square blocks
negative_passages.docid: 29788
negative_passages.text: Eigenvalues of a matrix whose square equals its transpose
negative_passages.docid: 110825
negative_passages.text: Determinant of circulant matrix
negative_passages.docid: 63118
negative_passages.text: Finding the closed form of the determinant of the Hilbert matrix
negative_passages.docid: 134244
negative_passages.text: Determinant of a matrix will all off-diagonal elements equal
negative_passages.docid: 11566
negative_passages.text: Similar matrices and minimal polynomial
negative_passages.docid: 32487
negative_passages.text: Proving $\det \left( \begin{smallmatrix} A & -B \\ B & A \end{smallmatrix} \right) =|\det(A+iB)|^2$
negative_passages.docid: 10083
negative_passages.text: Determinant of matrix times a constant.
negative_passages.docid: 62232
negative_passages.text: A real $2 \times 2 $ matrix $M$ such that $M^2 = \tiny \begin{pmatrix} -1&0 \\ 0&-1-\epsilon \\ \end{pmatrix}$ , then :
negative_passages.docid: 51800
negative_passages.text: We have matrix $A\in M_{n-1\times n}(\mathbb Z)$ so that the sum of entries in each row is zero. Prove that $\det(AA^T)=nk^2.$
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: 156565
negative_passages.text: Find a matrix that simultaneously diagonalizes to matrices