Question

Question #baea9

Answer 1

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

Explanation:

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.