query: Relation between Nilpotent Matrix and identity matrix
positive_passages.docid: 22563
positive_passages.text: Units and Nilpotents
negative_passages.docid: 122580
negative_passages.text: If N is elementary nilpotent matrix, show that N Transpose is similar to N
negative_passages.docid: 7712
negative_passages.text: How to prove the both identity (matrix)
negative_passages.docid: 83853
negative_passages.text: Prove that the polar decomposition of normal matrices, $A=SU$, is such that $SU=US$
negative_passages.docid: 41514
negative_passages.text: Let $trcA=0$.why $A=M+N$ where $M$ and $N$ are nilpotent matrices?
negative_passages.docid: 31029
negative_passages.text: Characteristic polynomial of a matrix of $1$'s
negative_passages.docid: 147490
negative_passages.text: If matrix $AB=A$, does it mean B must be an identity matrix?
negative_passages.docid: 63882
negative_passages.text: Show that the heisenberg group is nilpotent
negative_passages.docid: 116820
negative_passages.text: If two matrices have the same characteristic polynomials, determinant and trace, are they similar?
negative_passages.docid: 28460
negative_passages.text: Show matrix is nilpotent
negative_passages.docid: 98541
negative_passages.text: If a Matrix Has Only Zero as an Eigen-Value Then It Is Nilpotent
negative_passages.docid: 19203
negative_passages.text: Is the rank of a matrix the same of its transpose? If yes, how can I prove it?
negative_passages.docid: 46825
negative_passages.text: The identity det(A) = exp(Tr(ln(A)) for A general
negative_passages.docid: 9574
negative_passages.text: How to show that $\det(AB) =\det(A) \det(B)$?
negative_passages.docid: 145876
negative_passages.text: $AB-BA=A$ implies $A$ is singular and $A$ is nilpotent.
negative_passages.docid: 41436
negative_passages.text: rank of complex conjugate transpose matrix property proof
negative_passages.docid: 39657
negative_passages.text: Strictly Upper Triangular $n\times n$ Matrices form a Nilpotent Lie Algebra over $\mathbb{C}$ for $n\geq 2$