Question 12 - Week 3 Practice | Prasnya
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Week 3
Question 12
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Est. 2 min
Marks:
+3.00
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B
=
{
v
1
,
v
2
,
v
3
}
B=\{v_1,v_2,v_3\}
is a linearly independent subset of
R
3
\mathbb{R}^3
. Select all linearly independent subsets of
R
3
\mathbb{R}^3
from the following.
Multiple correct
Medium Difficulty
07 July 2024
A
{
v
1
+
v
2
,
v
1
−
v
2
}
\{v_1+v_2, v_1-v_2\}
B
{
v
1
,
v
2
,
v
3
,
v
4
}
\{v_1,v_2,v_3,v_4\}
, where
v
4
v_4
is some vector in
R
3
\mathbb{R}^3
C
{
v
1
+
v
2
,
v
1
−
v
2
,
v
1
+
v
2
+
v
3
}
\{v_1+v_2, v_1-v_2, v_1+v_2+v_3\}
D
{
v
1
,
v
1
+
v
2
,
v
1
−
v
2
}
\{v_1, v_1+v_2, v_1-v_2\}
