query: Strictly upper triangular matrices
positive_passages.docid: 144048
positive_passages.text: Linear Operators satisfying $S^n=0$ but $S^{n-1}\neq 0$
negative_passages.docid: 39353
negative_passages.text: Matrices that can only be permutation matrices
negative_passages.docid: 10886
negative_passages.text: Determinant of a block lower triangular matrix
negative_passages.docid: 103045
negative_passages.text: Composition of Proximal Operators
negative_passages.docid: 39537
negative_passages.text: Determinant of a block upper triangular matrix
negative_passages.docid: 25335
negative_passages.text: Orthogonal matrix over cross product
negative_passages.docid: 73155
negative_passages.text: Prove that for any square matrix, an invertible matrix B exists, so that BA is triangular
negative_passages.docid: 73952
negative_passages.text: Upper bound for the sum of absolute values of the eigenvalues
negative_passages.docid: 63314
negative_passages.text: Triangular Factorials
negative_passages.docid: 94844
negative_passages.text: Unitary map between sets of vectors
negative_passages.docid: 108012
negative_passages.text: A matrix $M$ that commutes with any matrix is of the form $M=\alpha I$
negative_passages.docid: 86826
negative_passages.text: Almost a Vandermonde matrix
negative_passages.docid: 142145
negative_passages.text: strictly positive elements in $C^*$-algebra
negative_passages.docid: 30889
negative_passages.text: Classifying complex $2\times 2$ matrices up to similarity
negative_passages.docid: 140711
negative_passages.text: Linear independence of images by $A$ of vectors whose span trivially intersects $\ker(A)$
negative_passages.docid: 98631
negative_passages.text: Postive-semidefiniteness of matrix with entries $1/(a_i+a_j)$
negative_passages.docid: 8627
negative_passages.text: Number of equivalence classes of $w \times h$ matrices under switching rows and columns