Math 205a Quiz Worksheet Page 2
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1
2
1
4
7
,
,
1C. S =
2
5
8
RREF(A):
3
6
9
3
Span R
discussion:
Linear Independence discussion:
Basis?
Y
N
0
1
1
,
,
1D. S =
1
0
1
RREF(A):
1
1
0
3
Span R
discussion:
Linear Independence discussion:
Basis?
Y
N
0
1
4
1
1 1
1 0
22 0
12
18
2
11
0
4
1 4
0 1
4 0
3
4
2. Let D =
; then D is row equivalent to
2
8
12
3
6 5
0 0
0 1
2
3
1
5
2
1
1 1
0 0
0 0
0
0
2A. Find a basis for Null(D).
2B. Express the fifth column of D as a linear combination of the other columns or explain why this is
impossible.
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