OrthogonalMatrix

OrthogonalMatrix[omat] converts the orthogonal matrix omat to a structured array.

Examples

Create an orthogonal matrix from a rotation:

OrthogonalMatrix[RotationMatrix[Pi/4]]

Verify orthogonality:

om = OrthogonalMatrix[RotationMatrix[Pi/3]];
om . Transpose[om] // Chop

Please visit the official Wolfram Language Reference for more details.