query: An Operator Identity relating to Trace
positive_passages.docid: 148753
positive_passages.text: Quantum Stat-Mech Proof of an Inequality for the Partition Function
negative_passages.docid: 129743
negative_passages.text: $A$ be a $2\times 2$ real matrix with trace $2$ and determinant $-3$
negative_passages.docid: 138342
negative_passages.text: Proof of a matrix exponential identity
negative_passages.docid: 102935
negative_passages.text: Trace and determinant of composition of a left-multiplication and a right-multiplication on a space of matrices
negative_passages.docid: 73406
negative_passages.text: Prove that $E_{\lambda}(T)=E_{\lambda^{-1}}(T^{-1})$ if $T$ is an invertible linear operator on a finite dimensional vector space $V$
negative_passages.docid: 60990
negative_passages.text: Tricky operator identity: $[L^2,[L^2,\vec{r}]]=2 \hbar ^2 \{ L^2, \vec{r}\}$?
negative_passages.docid: 118996
negative_passages.text: Prove that $T$ is an orthogonal projection
negative_passages.docid: 36826
negative_passages.text: Products of Differential Operators
negative_passages.docid: 101631
negative_passages.text: Determinant of a finite-dimensional matrix in terms of trace
negative_passages.docid: 114250
negative_passages.text: If $V_0$ is the subspace of matrices of the form $C=AB-BA$ for some $A,B$ in a vector space $V$ then $V_0=\{A\in V|\operatorname{Trace} (A)=0\}$
negative_passages.docid: 108688
negative_passages.text: An identity involving products of sums
negative_passages.docid: 75855
negative_passages.text: Show that $\det{(A + sxy^*)}$ is linear in $s$
negative_passages.docid: 81868
negative_passages.text: How to prove $\operatorname{Tr}(AB) = \operatorname{Tr}(BA)$?
negative_passages.docid: 121802
negative_passages.text: Prove that every self-adjoint unitary linear operator can be expressed in the form $U\alpha = \beta - \gamma$
negative_passages.docid: 11557
negative_passages.text: How to prove $\det(e^A) = e^{\operatorname{tr}(A)}$?
negative_passages.docid: 45725
negative_passages.text: Derivation of an identity with beta function.
negative_passages.docid: 2635
negative_passages.text: equality of two operators...