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Question 10 - Week 3 Practice | Prasnya
Q10
00:00
23 Feb 2025
Q10.
Which of the following options represents
W
1
∩
W
2
W_1\cap W_2
W
1
∩
W
2
? One or more options may be correct.
@passage
A
{
α
(
0
,
1
,
−
1
)
+
β
(
0
,
−
1
,
1
)
∣
α
,
β
∈
R
}
\{\alpha(0,1,-1)+\beta(0,-1,1)\mid \alpha,\beta\in\mathbb{R}\}
{
α
(
0
,
1
,
−
1
)
+
β
(
0
,
−
1
,
1
)
∣
α
,
β
∈
R
}
B
Span
{
(
0
,
1
,
−
1
)
,
(
0
,
−
1
,
−
1
)
}
\operatorname{Span}\{(0,1,-1),(0,-1,-1)\}
Span
{(
0
,
1
,
−
1
)
,
(
0
,
−
1
,
−
1
)}
C
Span
{
(
0
,
1
,
−
1
)
}
\operatorname{Span}\{(0,1,-1)\}
Span
{(
0
,
1
,
−
1
)}
D
{
α
(
2
,
−
1
,
−
1
)
+
β
(
0
,
1
,
1
)
∣
α
,
β
∈
R
}
\{\alpha(2,-1,-1)+\beta(0,1,1)\mid \alpha,\beta\in\mathbb{R}\}
{
α
(
2
,
−
1
,
−
1
)
+
β
(
0
,
1
,
1
)
∣
α
,
β
∈
R
}
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Q10
00:00
23 Feb 2025
Q10.
Which of the following options represents
W
1
∩
W
2
W_1\cap W_2
W
1
∩
W
2
? One or more options may be correct.
@passage
A
{
α
(
0
,
1
,
−
1
)
+
β
(
0
,
−
1
,
1
)
∣
α
,
β
∈
R
}
\{\alpha(0,1,-1)+\beta(0,-1,1)\mid \alpha,\beta\in\mathbb{R}\}
{
α
(
0
,
1
,
−
1
)
+
β
(
0
,
−
1
,
1
)
∣
α
,
β
∈
R
}
B
Span
{
(
0
,
1
,
−
1
)
,
(
0
,
−
1
,
−
1
)
}
\operatorname{Span}\{(0,1,-1),(0,-1,-1)\}
Span
{(
0
,
1
,
−
1
)
,
(
0
,
−
1
,
−
1
)}
C
Span
{
(
0
,
1
,
−
1
)
}
\operatorname{Span}\{(0,1,-1)\}
Span
{(
0
,
1
,
−
1
)}
D
{
α
(
2
,
−
1
,
−
1
)
+
β
(
0
,
1
,
1
)
∣
α
,
β
∈
R
}
\{\alpha(2,-1,-1)+\beta(0,1,1)\mid \alpha,\beta\in\mathbb{R}\}
{
α
(
2
,
−
1
,
−
1
)
+
β
(
0
,
1
,
1
)
∣
α
,
β
∈
R
}
Save
Read
Check
Details
