Are rotation and reflection the only two scenarios of transformations satisfying QQ^T = I ?

What are some examples of non-orthogonal transformations?

Why does the sign of the determinant determine rotation/reflection?

What happens if det(Q) == 0? Does it transform all points to the origin?

What is the determinant's connection to orientation?

Are rotation and reflection the only two scenarios of transformations satisfying QQ^T = I ?

What are some examples of non-orthogonal transformations?

Why does the sign of the determinant determine rotation/reflection?

What happens if det(Q) == 0? Does it transform all points to the origin?

What is the determinant's connection to orientation?