Definition:Proper Orthogonal Matrix

Definition

Let $\mathbf Q$ be an orthogonal matrix.

Then $\mathbf Q$ is a proper orthogonal matrix if and only if:

$\map \det {\mathbf Q} = 1$

where $\map \det {\mathbf Q}$ is the determinant of $\mathbf Q$.

Sources

• 1980: A.J.M. Spencer: Continuum Mechanics ... (previous) ... (next): $2.1$: Matrices