Search results with tag "Orthonormal"

21. Orthonormal Bases - UC Davis Mathematics

Then as a linear transformation, P i w iw T i = I n xes every vector, and thus must be the identity I n. De nition A matrix Pis orthogonal if P 1 = PT. Then to summarize, Theorem. A change of basis matrix P relating two orthonormal bases is

  Linear, Orthonormal