Math 205a Quiz Worksheet
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1
2Math 205A
Quiz 07 page 1
March 14, 2008
NAME
1. In each part below, let A be the matrix whose columns are formed by the given set S of vectors.
First, write the RREF form of A next to S.
3
Second, use RREF(A) to explain whether S spans R
.
Third, show how RREF(A) indicates if S is linearly independent.
3
Finally, circle Y or N as the correct answer to the question, is S a basis of R
.
2
8
3
13
,
,
,
1A. S =
1
4
1
5
RREF(A):
3
12
1
9
3
Span R
discussion:
Linear Independence discussion:
Basis?
Y
N
3
12
15
16
,
,
,
1B. S =
2
8
9
7
RREF(A):
3
12
7
13
3
Span R
discussion:
Linear Independence discussion:
Basis?
Y
N
quiz continues other side
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