Prof. Goodwill only
adel
quiz6.docMATH 250B QUIZ 6 Due 6/22/15
Name:_______________________________________
1. (5 pts.) Determine a basis for the row space, a basis for the column space and a basis for the null space of the given matrix A. Find the dimension of each space.
ú
ú
ú
û
ù
ê
ê
ê
ë
é
-
-
-
-
=
12
8
4
2
2
1
9
6
0
6
4
0
3
2
0
A
.2. ( 5 pts.) Let
{
}
)
1
,
1
,
1
(
),
5
,
2
,
1
(
),
5
,
3
,
2
(
),
1
,
1
,
1
(
-
-
-
=
S
.(a) Does the set S span R
3
?(b) Express the vector
)
11
,
4
,
1
(
-
=
v
r
,if possible, as a linear combination of the vectorsfrom S.
(c) Determine whether the set S is linearly dependent or linearly independent in R
3
.(d) Is S a basis for R
3
? Justify your answer.
