MAT 335
HOMEWORK ASSIGNMENT #10
HAND IN WEDNESDAY, Nov. 14, 2007
1.
Show that { 1 , 1 + t , 1 + t + t2 }
is a linearly independent set in P2.
2.
Show 
is a linearly
independent set in M2x2.
3.
Let V = P3 and H
= Span { 1 + t , 1 +2 t + t2 , t + t2
, – 3 – 3t }. Find a basis for the
subspace H (by discarding vectors from the set) and explain how you know when
to stop.
4.
Find bases for both Col A and Nul A for the
matrix in Section 4.3 #10.
5.
Section 4.4 #4
6.
Section 4.4 #8
7.
Section 4.4 #30