Question #baea9

1 Answer
Nov 10, 2016

A is an orthogonal matrix if #A cdot A^T = I#


An orthogonal matrix is a square matrix with real elements that have the property of his inverse is equal to his transpose matrix, i.e.:

#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.