Matrix groups consist of matrices together with matrix multiplication. The general linear group GL(n, R) consists of all invertible n-by-n matrices with real entries. Its subgroups are referred to as matrix groups or linear groups. The dihedral group example mentioned above can be viewed as a (very small) matrix group. Another important matrix group is the special orthogonal group SO(n). It describes all possible rotations in n dimensions. Via Euler angles, rotation matrices are used in computer graphics. COUNT 5
QSN1 What groups combine matrices with matrix multiplication? ANS1 Matrix groups QSN2 What includes all invertible n-by-n matrices with real entries? ANS2 The general linear group QSN3 What term describes subgroups of the general linear group? ANS3 matrix groups QSN4 What matrix group portrays all possible rotations in n dimensions? ANS4 the special orthogonal group SO(n) QSN5 Rotation matrix groups are utilized in computer graphics with what concept? ANS5 Euler angles