query: Involutory matrix $2 \times 2$
positive_passages.docid: 156834
positive_passages.text: Why are there $736$ matrices $M\in \mathcal M_2(\mathbb{Z}_{26})$ for which it holds that $M=M^{-1}$?
negative_passages.docid: 145123
negative_passages.text: Prove a group generated by two involutions is dihedral
negative_passages.docid: 135421
negative_passages.text: Determinant of an $n\times n$ Toeplitz matrix
negative_passages.docid: 109217
negative_passages.text: Invertibility of the Product of Two Matrices
negative_passages.docid: 20331
negative_passages.text: Determinant of a $2\times 2$ block matrix
negative_passages.docid: 10083
negative_passages.text: Determinant of matrix times a constant.
negative_passages.docid: 127620
negative_passages.text: Matrix exponential of a traceless $2\times2$ complex matrix
negative_passages.docid: 99662
negative_passages.text: proving than every $2\times 2$ is similar to a united form
negative_passages.docid: 123726
negative_passages.text: $2\times 2 $ matrices over $\mathbb{C}$ that satisfy $\mathrm A^3=\mathrm A$
negative_passages.docid: 36064
negative_passages.text: How many $3 \times 3$ integer matrices are orthogonal?
negative_passages.docid: 66842
negative_passages.text: Number of $n^2\times n^2$ permutation matrices with a 1 in each $n\times n$ subgrid
negative_passages.docid: 30456
negative_passages.text: The number of $2 × 2$ invertible matrices with entries from field $\mathbb{Z}_p$
negative_passages.docid: 144145
negative_passages.text: Symmetric $3\times 3$ Matrices - Base matrix
negative_passages.docid: 86826
negative_passages.text: Almost a Vandermonde matrix
negative_passages.docid: 100656
negative_passages.text: $2\times2$ matrix $A$ such that $A$ has one independent eigenvector while $A^{2}$ has two independent eigenvectors
negative_passages.docid: 135420
negative_passages.text: Determining eigenvalues, eigenvectors of $A\in \mathbb{R}^{n\times n}(n\geq 2)$.
negative_passages.docid: 79737
negative_passages.text: Characterization of two-step 2x2 stochastic matrices