Perpframes, Aligners and Hangers
Linear Systems, Pseudo-Inverse
Matrix Norm, Rank One
PerpFrame To Standard
Use a matrix hit to find numbers a and b so that .
(The numbers a and b are the perpframe coordinates
of the point P.)
Answer: You can get the numbers
a and b by hitting the point P with the .
With a and b defined as above you see that .
Why does that work?
Answer: Here's what you get when you hit everything in the plot above with the aligner matrix:
The location of the rotated point aligner.P relative to the xy-axis
Answer: The column method for matrix multiplication tells you that the standard xy-coordinates of the point P are given by
2. In terms of and express a matrix M so that M P gives the coordinates of the point P.