query: Matrix algebra : matrix nilpotent
positive_passages.docid: 25009
positive_passages.text: $\operatorname{tr}(A)=\operatorname{tr}(A^{2})= \ldots = \operatorname{tr}(A^{n})=0$ implies $A$ is nilpotent
negative_passages.docid: 18585
negative_passages.text: Showing $A-I$ is invertible, when $A$ is a skew-symmetric matrix
negative_passages.docid: 98541
negative_passages.text: If a Matrix Has Only Zero as an Eigen-Value Then It Is Nilpotent
negative_passages.docid: 75480
negative_passages.text: Matrix Identity $(I-G_1G_2)^{-1}G_1=G_1(I-G_2G_1)^{-1}$?
negative_passages.docid: 44898
negative_passages.text: Help with commutative property of matrices problem
negative_passages.docid: 128043
negative_passages.text: $A^n=0$ for $A$ nilpotent without the use of minimal polynomial
negative_passages.docid: 112701
negative_passages.text: Prove that if matrix $A$ is nilpotent, then $I+A$ is invertible.
negative_passages.docid: 61526
negative_passages.text: An exercise about nilpotent quotient groups
negative_passages.docid: 115273
negative_passages.text: Nilpotent matrix and basis for $F^n$
negative_passages.docid: 63882
negative_passages.text: Show that the heisenberg group is nilpotent
negative_passages.docid: 37867
negative_passages.text: If $0$ is the only eigenvalue of a linear operator, is the operator nilpotent
negative_passages.docid: 155451
negative_passages.text: Upper bound for the rank of a nilpotent matrix , if $A^2 \ne 0$
negative_passages.docid: 41411
negative_passages.text: How to show that the nth power of a $n \times n$ nilpotent matrix equals to zero $A^n=0$
negative_passages.docid: 43570
negative_passages.text: Finding two non-zero matrices where $AX = BA$
negative_passages.docid: 22563
negative_passages.text: Units and Nilpotents
negative_passages.docid: 58807
negative_passages.text: Solving the Lie algebra of generators: path from algebra to matrix representation
negative_passages.docid: 123044
negative_passages.text: Commutative matrices are multiples of the identity