query: Trace(AB) = Trace(BA) for rectangular matrices
positive_passages.docid: 20659
positive_passages.text: Is trace invariant under cyclic permutation with rectangular matrices?
negative_passages.docid: 140252
negative_passages.text: Matrices - Conditions for $AB+BA=0$
negative_passages.docid: 155537
negative_passages.text: Intuition of the cyclic trace property of matrix products and relation to the determinant?
negative_passages.docid: 90475
negative_passages.text: Coordinate-free proof of $\operatorname{Tr}(AB)=\operatorname{Tr}(BA)$?
negative_passages.docid: 85167
negative_passages.text: When A and B are of different order given the $\det(AB)$,then calculate $\det(BA)$
negative_passages.docid: 88473
negative_passages.text: Proof that the trace of a matrix is the sum of its eigenvalues
negative_passages.docid: 8970
negative_passages.text: Proving the cross product matrix tranformation identity with an alternative solution
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: 116820
negative_passages.text: If two matrices have the same characteristic polynomials, determinant and trace, are they similar?
negative_passages.docid: 90506
negative_passages.text: Finite multiplicative group of matrices with sum of traces equal to zero.
negative_passages.docid: 119076
negative_passages.text: General expression for determinant of a block-diagonal matrix
negative_passages.docid: 112353
negative_passages.text: Prove that all 2x2 orthogonal matrices can be expressed as Rotation or Reflection
negative_passages.docid: 32611
negative_passages.text: Is the trace of inverse matrix convex?
negative_passages.docid: 129743
negative_passages.text: $A$ be a $2\times 2$ real matrix with trace $2$ and determinant $-3$
negative_passages.docid: 123366
negative_passages.text: Determinant of block matrices with non-square blocks
negative_passages.docid: 149629
negative_passages.text: The Eigenvalues of a block matrix
negative_passages.docid: 23224
negative_passages.text: $\mbox{rank}(A)=1$ implies $\det(A+I)=\mbox{trace}(A)+1$