query: Complex matrices with null trace
positive_passages.docid: 52928
positive_passages.text: If $\mathrm{Tr}(A)=0$ then $T=R^{-1}AR$ has all entries on its main diagonal equal to $0$
negative_passages.docid: 91938
negative_passages.text: Countable Matrix Representation
negative_passages.docid: 139162
negative_passages.text: Complex number isomorphic to certain $2\times 2$ matrices?
negative_passages.docid: 33188
negative_passages.text: Dimension of null space of a given problem
negative_passages.docid: 51889
negative_passages.text: How to "find" this Lie algebra: proof that $\mathfrak{sl}$ is trace zero matrices
negative_passages.docid: 140415
negative_passages.text: When does a Square Matrix have an LU Decomposition?
negative_passages.docid: 75104
negative_passages.text: Existence of some type matrix
negative_passages.docid: 125889
negative_passages.text: Determinant of rank-one perturbations of (invertible) matrices
negative_passages.docid: 22933
negative_passages.text: Closed-form solution for the determinant of a Vandermonde-like matrix
negative_passages.docid: 35801
negative_passages.text: Traceless matrices and commutators
negative_passages.docid: 93160
negative_passages.text: Null Space of Transformation
negative_passages.docid: 69398
negative_passages.text: Rank-nullity theorem for free $\mathbb Z$-modules
negative_passages.docid: 127664
negative_passages.text: Inverse elements in the absence of identities/associativity.
negative_passages.docid: 70455
negative_passages.text: Why are all nonzero eigenvalues of the skew-symmetric real matrices pure imaginary?
negative_passages.docid: 121253
negative_passages.text: Prove that any complex matrix can be expressed in term of Hermitian and anti-Hermitian matrices
negative_passages.docid: 72654
negative_passages.text: If $(a_n)$ is a null sequence and $(b_n)$ is bounded, then $(a_nb_n)$ is a null sequence
negative_passages.docid: 41805
negative_passages.text: Can a matrix have a null space that is equal to its column space?