query: trace of a matrix in $\mathbb{Z}_{227}$
positive_passages.docid: 20241
positive_passages.text: Find the trace of the matrix?
negative_passages.docid: 117737
negative_passages.text: Why is $\mathfrak{sl}(n)$ the algebra of traceless matrices?
negative_passages.docid: 121987
negative_passages.text: Direct proof that nilpotent matrix has zero trace
negative_passages.docid: 79276
negative_passages.text: Find $\min(\operatorname{trace}(AA^T))$ for invertible $A_{n\times n}$
negative_passages.docid: 13020
negative_passages.text: Proof for the funky trace derivative : $d (\operatorname{trace} (ABA'C))$?
negative_passages.docid: 39256
negative_passages.text: Finding $\det(I+A^{100})$ where $A\in M_3(R)$ and eigenvalues of $A$ are $\{-1,0,1\}$
negative_passages.docid: 129476
negative_passages.text: The trace map in a finite field.
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: 44371
negative_passages.text: Finding trace and determinant of linear operator
negative_passages.docid: 51800
negative_passages.text: We have matrix $A\in M_{n-1\times n}(\mathbb Z)$ so that the sum of entries in each row is zero. Prove that $\det(AA^T)=nk^2.$
negative_passages.docid: 20659
negative_passages.text: Is trace invariant under cyclic permutation with rectangular matrices?
negative_passages.docid: 84279
negative_passages.text: The average determinant of all integer matrices with coefficients $0,1,2$
negative_passages.docid: 1895
negative_passages.text: How to show that $2730\mid n^{13}-n\;\;\forall n\in\mathbb{N}$
negative_passages.docid: 80545
negative_passages.text: The Determinant of a Special Vandermonde Matrix
negative_passages.docid: 55062
negative_passages.text: $2\times 2$ matrix $C=AB-BA$
negative_passages.docid: 24873
negative_passages.text: Determinant of elementary permutation matrix
negative_passages.docid: 30456
negative_passages.text: The number of $2 × 2$ invertible matrices with entries from field $\mathbb{Z}_p$