This preview shows page 1. Sign up to view the full content.
Unformatted text preview: basis for the nullspace is
. Finally, AT =
so the nullspace of A has basis
. Note the orthogonality
between the column space of A and the nullspace of AT . And between the nullspace of A
and the rowspace of .
For B =
the ﬁrst column forms a basis for the column space and the rows are
visibly dependent so the vector
is a basis for the column space and (1, 0) is a basis for
the row space. The row reduced echelon form of B is
so a basis for the nullspace
View Full Document