Implies determinant plus or minus 1. Converse not true. But the converse within is true.
Set of all of them form the orthogonal group. It is a group since their determinant is not 0, so they have inverses.
For these matrices, the inverses are the transposes. Or equivalently, the set of rows is orthonormal, and so is the set of columns.
- Named matrix | 15, 373, 11
- Matrix | 0, 1k, 37
- Linear algebra | 0, 3k, 78
- Algebra | 0, 8k, 171
- Mathematics | 17, 28k, 633
- Ciro Santilli's Homepage | 262, 218k, 4k
- Change of basis between symmetric matrices | 45
- Eigendecomposition of a real symmetric matrix | 40
- Orthogonal group | 386, 647, 10
- Unitary matrix | 45