Back 
Next
Mathematics of Projections
...and the Clincher
In particular, if the v
s are all unit length (so 
) and mutually perpendicular (so 
), then a matrix whose rows are the v
s multiplied by one whose colums are the v
s gives the identity matrix!
Summary
If BA = I
, then B
sends to columns of A
to the three standard unit vectors.
If the columns of A
are unit length and mutually perpendicular, then 
, so...
If the columns of A
are unit length and perpendicular, then 
is a matrix that sends the colums of A
to the standard unit vectors.
Back Next
Mathematics of Projections - 09 MAY 95
Page 35 of 44
sl@cs.brown.edu
Generated with CERN WebMaker