query: Determining nilpotency of upper triangular matrices
positive_passages.docid: 39657
positive_passages.text: Strictly Upper Triangular $n\times n$ Matrices form a Nilpotent Lie Algebra over $\mathbb{C}$ for $n\geq 2$
negative_passages.docid: 44898
negative_passages.text: Help with commutative property of matrices problem
negative_passages.docid: 88712
negative_passages.text: Determining a matrix from its characteristic polynomial
negative_passages.docid: 4917
negative_passages.text: Inverse of this $3\times 3$ matrix using the Cayley–Hamilton theorem
negative_passages.docid: 10886
negative_passages.text: Determinant of a block lower triangular matrix
negative_passages.docid: 106322
negative_passages.text: Let $A$ and $B$ be square matrices of the same size such that $AB = BA$ and $A$ is nilpotent. Show that $AB$ is nilpotent.
negative_passages.docid: 112371
negative_passages.text: Computing irreducible components of algebraic set
negative_passages.docid: 135316
negative_passages.text: A basic question on diagonalizability of a matrix
negative_passages.docid: 97781
negative_passages.text: invertible matrices connected or not
negative_passages.docid: 136389
negative_passages.text: Finding an isomorphic subring of matrices
negative_passages.docid: 115905
negative_passages.text: The determinant of block triangular matrix as product of determinants of diagonal blocks
negative_passages.docid: 142307
negative_passages.text: Counting invertible $0$-$1$ matrices that remain invertible under negating the diagonal
negative_passages.docid: 92267
negative_passages.text: Adjacency matrix and existence of triangle
negative_passages.docid: 130720
negative_passages.text: Special linear algebra over finite field with characteristic 3
negative_passages.docid: 115273
negative_passages.text: Nilpotent matrix and basis for $F^n$
negative_passages.docid: 1973
negative_passages.text: Traces of all positive powers of a matrix are zero implies it is nilpotent
negative_passages.docid: 19219
negative_passages.text: On the invertibility of the adjacency matrix of a graph