query: A question regarding matrix $M_{n\times n } (\mathbb{C})$
positive_passages.docid: 152831
positive_passages.text: When does a complex matrix have a square root?
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: 15202
negative_passages.text: the root of $N$th transpose matrix
negative_passages.docid: 73027
negative_passages.text: Questions on symmetric matrices
negative_passages.docid: 59202
negative_passages.text: What is the angle between those two matrices over $\mathbb{C}$?
negative_passages.docid: 146243
negative_passages.text: Does there exist a matrix $\mathbf{A}\in\mathbb{R}^{3\times3}$ such that $\mathbf{A}^{2}=-\mathbf{I}$?
negative_passages.docid: 27474
negative_passages.text: A square matrix $n \times n$ is an invertible matrix iff the rank of the matrix is $n$.
negative_passages.docid: 52564
negative_passages.text: $m\times n$ matrix with an even number of 1s in each row and column
negative_passages.docid: 113474
negative_passages.text: An $n \times n$ matrix $M$ of integers has the property that $M_{ab} = M_{xy}$ iff $a+b=x+y$. How many distinct elements are there in $M$?
negative_passages.docid: 114916
negative_passages.text: $\mathbb Z_{mn}$ isomorphic to $\mathbb Z_m\times\mathbb Z_n$ whenever $m$ and $n$ are coprime
negative_passages.docid: 69542
negative_passages.text: Why do the $n \times n$ non-singular matrices form an "open" set?
negative_passages.docid: 155275
negative_passages.text: If two real matrices are conjugated over $\mathbb{C}$, are they then also conjugated over $\mathbb{R}$?
negative_passages.docid: 10083
negative_passages.text: Determinant of matrix times a constant.
negative_passages.docid: 128760
negative_passages.text: If $A$ and $B$ two $n\times n$ matrix such that $AB=BA$, then $\dim(A\cap B)$?
negative_passages.docid: 145980
negative_passages.text: For every matrix $A\in M_{2}( \mathbb{C}) $ there's  $X\in M_{2}( \mathbb{C})$ such that $X^2=A$?
negative_passages.docid: 4517
negative_passages.text: Showing a $2\times2$ matrix is invertible
negative_passages.docid: 95227
negative_passages.text: Is the set of all $n\times n$ matrices, such that for a fixed matrix B  AB=BA, a subspace of the vector space of all $n\times n$ matrices?