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Question 34 - Week 6 Practice | Prasnya
Q34
00:00
24 Mar 2024
Q34.
Which of the following is a basis for the kernel of
T
T
T
?
@passage
A
{
(
1
,
1
,
1
)
}
\{(1,1,1)\}
{(
1
,
1
,
1
)}
B
span
{
(
1
,
1
,
1
)
}
\operatorname{span}\{(1,1,1)\}
span
{(
1
,
1
,
1
)}
C
{
(
a
,
a
,
a
)
:
a
∈
R
}
\{(a,a,a):a\in\mathbb{R}\}
{(
a
,
a
,
a
)
:
a
∈
R
}
D
{
(
1
,
0
)
,
(
0
,
1
)
}
\{(1,0),(0,1)\}
{(
1
,
0
)
,
(
0
,
1
)}
E
{
(
1
,
0
,
0
)
,
(
0
,
1
,
0
)
}
\{(1,0,0),(0,1,0)\}
{(
1
,
0
,
0
)
,
(
0
,
1
,
0
)}
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Q34
00:00
24 Mar 2024
Q34.
Which of the following is a basis for the kernel of
T
T
T
?
@passage
A
{
(
1
,
1
,
1
)
}
\{(1,1,1)\}
{(
1
,
1
,
1
)}
B
span
{
(
1
,
1
,
1
)
}
\operatorname{span}\{(1,1,1)\}
span
{(
1
,
1
,
1
)}
C
{
(
a
,
a
,
a
)
:
a
∈
R
}
\{(a,a,a):a\in\mathbb{R}\}
{(
a
,
a
,
a
)
:
a
∈
R
}
D
{
(
1
,
0
)
,
(
0
,
1
)
}
\{(1,0),(0,1)\}
{(
1
,
0
)
,
(
0
,
1
)}
E
{
(
1
,
0
,
0
)
,
(
0
,
1
,
0
)
}
\{(1,0,0),(0,1,0)\}
{(
1
,
0
,
0
)
,
(
0
,
1
,
0
)}
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Details