My students only: If you submitted the early
homework by 5:00 Wednesday, you don't need to turn in problems
12 or 31 from section 4.1, problem 3 from section 4.2, or problems 9 or 20
from section 4.3 on Friday. However, please make a note that you have
done so.
Question 1:
Let A be an m by n matrix. Prove that the
columnspace of A is a subspace of Rm.
Question 2:
Let H=
1
5
-3
12
4
4
1
7
10
3
-1
5
-7
8
3
-2
4
-8
4
1
-2
2
-6
0
3
, and J=
1
0
2
2
0
0
1
-1
2
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
.
H is row-equivalent to J. Find a basis for the nullspace of
H.
Question 3:
Find a basis for the columnspace of H.