Orthonormal columns imply orthonormal rows

This example demonstrates that if the columns of a matrix are orthonormal, then its transpose matrix's rows are also orthonormal. It involves core mathematical concepts like orthogonality, normalization, matrix transpose, and linear algebra. The construction uses GeoGebra commands for vectors a1, a2, a3, at1, at2, at3, u1, u2, u3, ut1, ut2, ut3, and matrix T. It is suitable for beginners in linear algebra or those needing a visual understanding of matrix properties.