MATH 223, Linear Algebra
Winter, 2008
Assignment 4, due
in class
Wednesday, February 6, 2008
1. Let
V
=
Z
4
2
and
W
1
=
Span
1
0
1
0
,
0
1
0
1
and
W
2
=
Span
0
1
1
0
,
1
0
0
1
and be subspaces of
V
. Find a basis for
W
1
+
W
2
and one for
W
1
∩
W
2
.
2. Let
V
=
C
5
and
W
1
=
Span
1
i
1
i
1
,
2
i

1
1 +
i
0
2
,
4
3
i
3

i
2
i
2

2
i
,
2 + 2
i

1 + 2
i
3 +
i
1 + 2
i
4
and
W
2
=
Span
2 + 3
i

2 + 2
i
4 + 2
i
2
i
5 +
i
,
1 + 3
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 Fall '07
 Harris
 Linear Algebra, Vector Space, w1 w2, Linear Algebra Winter

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