Quiz4mt210Sample2Ans

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Published on 31 Jan 2019
School
Boston College
Department
Mathematics
Course
MATH 2211
Professor
MT Q  S 
İ S. Y
F , 
Surname, Name:
Q . §. L I
Determine by inspection if the given set is linearly independent. Explain
your inspection.
a)
1
7
6
,
2
0
9
,
3
1
5
,
4
1
8
b)
2
3
5
,
0
0
0
,
1
1
8
,
c)
2
4
6
10
,
3
6
9
15
A
a. There are more vectors that the entries in each vector. Therefore, these
vectors are linearly dependent.
b. The zero vector is among the given vectors. Therefore, these vectors are
linearly dependent.
c. Note that we have two vectors in this part. None of them is a constant
multiple of the other. Therefore, they are linearly independent.
1
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