query: Is a $1\times 1 $ matrix a scalar?
positive_passages.docid: 157570
positive_passages.text: is a one-by-one-matrix just a number (scalar)?
negative_passages.docid: 121062
negative_passages.text: Given a matrix, is there always another matrix which commutes with it?
negative_passages.docid: 38378
negative_passages.text: $M= \{ A \in Mat_{2 \times 2}{\mathbb{R}}| \det(A)=1 \}$ is homeomorphic to $S^{1} \times \mathbb{R}^{2}$
negative_passages.docid: 4443
negative_passages.text: Why is the determinant zero iff the column vectors are linearly dependent?
negative_passages.docid: 130799
negative_passages.text: Matrix of rank 1; show that $A^2=cA$ for some scalar $c$.
negative_passages.docid: 101631
negative_passages.text: Determinant of a finite-dimensional matrix in terms of trace
negative_passages.docid: 119301
negative_passages.text: Is the following matrix invertible?
negative_passages.docid: 4509
negative_passages.text: Proof that an involutory matrix has eigenvalues 1,-1
negative_passages.docid: 150376
negative_passages.text: Does Real Eigenvalues mean it is an hermitian Matrix
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: 34445
negative_passages.text: Why is the determinant of a symplectic matrix 1?
negative_passages.docid: 31029
negative_passages.text: Characteristic polynomial of a matrix of $1$'s
negative_passages.docid: 149219
negative_passages.text: If $A$ is a non-square matrix with orthonormal columns, what is $A^+$?
negative_passages.docid: 71316
negative_passages.text: Two inner products being equal up to a scalar
negative_passages.docid: 81264
negative_passages.text: Is $[0, 1) \times (0, 1)$ homeomorphic to $(0, 1) × (0, 1)$?
negative_passages.docid: 39334
negative_passages.text: Non-degenerate bilinear forms and invertible matrices
negative_passages.docid: 31116
negative_passages.text: Matrix given by $a_{ij} = 1/(i+j)$ is non-singular.