Example image of eyePlorer eyePlorer map for 'Orthogonal matrix': Linear algebra Orthogonality Orthonormality Real number Unit vector Dot product Euclidean space Invertible matrix Isometry Linear map Reflection (mathematics) Rotation Transpose Unitary transformation Group (mathematics) Orthogonal group Determinant Subgroup Complex number Unitary matrix Normal matrix Inner product space Dimension (vector space) Point group QR decomposition Discrete cosine transform MP3 Permutation matrix Symmetric matrix Improper rotation Inversion in a point Householder transformation Givens rotation Euler angles Jacobi rotation Similar matrix If and only if Orthonormal basis Diagonal matrix Parity of a permutation Absolute value Diagonalizable matrix Eigenvalue, eigenvector and eigenspace Compact space Lie group Connected space Index of a subgroup Normal subgroup Quotient group Coset