I'm having some problems:
1)Prove that if Q and R are the change of coordinate matrices that change a-coordinates into b-coordinates and b-coordinates into c-coordinates, respectively, the RQ is the hange of coordinate matrix that changes a-coordinates into c-coordinates.
2) Prove that if Q changes a-coordinates into b-coordinates, then Q^(-1) changes b-coordinates into a-coordinates.
Thank you!!
1)Prove that if Q and R are the change of coordinate matrices that change a-coordinates into b-coordinates and b-coordinates into c-coordinates, respectively, the RQ is the hange of coordinate matrix that changes a-coordinates into c-coordinates.
2) Prove that if Q changes a-coordinates into b-coordinates, then Q^(-1) changes b-coordinates into a-coordinates.
Thank you!!