# Question #baea9

Nov 10, 2016

A is an orthogonal matrix if $A \cdot {A}^{T} = I$
${A}^{- 1} = {A}^{T}$
The absolut value of the determinant of any orthogonal matrix is always $1$. An orthogonal matrix have an associated linear transformation that is an isometry in Euclidean space, i.e. preserves the distances.