Question 19 - Week 3 Practice | Prasnya
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Week 3
Question 19
00:00
Est. 2 min
Marks:
+2.00
0.00
Which of the following subsets of
R
2
\mathbb{R}^2
is/are vector spaces with respect to usual addition and usual scalar multiplication?
Multiple correct
Medium Difficulty
16 July 2023
A
V
1
=
{
(
x
,
y
)
:
2
x
+
3
y
=
0
}
V_1=\{(x,y):2x+3y=0\}
B
V
2
=
{
(
x
,
y
)
:
y
2
=
0
,
x
=
2
y
}
V_2=\{(x,y):y^2=0,\ x=2y\}
C
V
3
=
{
(
x
,
y
)
:
x
=
1
}
V_3=\{(x,y):x=1\}
D
V
4
=
{
(
x
,
y
)
:
2
x
+
3
y
−
1
=
0
,
x
−
y
=
0
}
V_4=\{(x,y):2x+3y-1=0,\ x-y=0\}
