query: Trace of a $227\times 227$ matrix over $\mathbb{Z}_{227}$
positive_passages.docid: 146534
positive_passages.text: Find out trace of a given matrix $A$ with entries from $\mathbb{Z}_{227}$
negative_passages.docid: 90475
negative_passages.text: Coordinate-free proof of $\operatorname{Tr}(AB)=\operatorname{Tr}(BA)$?
negative_passages.docid: 147827
negative_passages.text: How to calculate $|\operatorname {SL}_2(\mathbb Z/N\mathbb Z)|$?
negative_passages.docid: 35801
negative_passages.text: Traceless matrices and commutators
negative_passages.docid: 81770
negative_passages.text: Determinant of an $n\times n$ complex matrix as an $2n\times 2n$ real determinant
negative_passages.docid: 15202
negative_passages.text: the root of $N$th transpose matrix
negative_passages.docid: 117737
negative_passages.text: Why is $\mathfrak{sl}(n)$ the algebra of traceless matrices?
negative_passages.docid: 24873
negative_passages.text: Determinant of elementary permutation matrix
negative_passages.docid: 35247
negative_passages.text: The characteristic and minimal polynomial of a companion matrix
negative_passages.docid: 121987
negative_passages.text: Direct proof that nilpotent matrix has zero trace
negative_passages.docid: 20331
negative_passages.text: Determinant of a $2\times 2$ block matrix
negative_passages.docid: 84279
negative_passages.text: The average determinant of all integer matrices with coefficients $0,1,2$
negative_passages.docid: 123482
negative_passages.text: How to compute $\mathbb{Z}_n^*$, the unit group of the integers modulo $n$?
negative_passages.docid: 78218
negative_passages.text: $A \in M_3(\mathbb Z)$ be such that $\det(A)=1$ ; then what is the maximum possible number of entries of $A$ that are even ?
negative_passages.docid: 65783
negative_passages.text: Proving: "The trace of an idempotent matrix equals the rank of the matrix"
negative_passages.docid: 22084
negative_passages.text: $\mathbb{Z}[i] / (2+3i)$ has 13 elements
negative_passages.docid: 148101
negative_passages.text: Basis for $\mathbb{Z}^2$