Review by the numbers

(Q45) Consider the singular value decomposition
A = (  5  3 1  1  ) (2        ) (  14 2   5   )                ...                 3   3 3  3               -  -- -  -               6   6 6  6             0   0   0.
a. Give a basis for the nullspace of A.
b. Give a basis for the column space of A.
c. For the vector y = (0 )        18       18       0, find Overscript[y,^] the projection of y on the column space of A.
d. Express the pseudo-inverse A^+ as a product of three matrices.
e. Give all least squares solutions to A x = (0 )          18         18         0.


Up

Copyright 2007 Todd Will
Created by Mathematica  (April 15, 2007)