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Question 29 - Week 6 Practice | Prasnya
Q29
00:00
24 Mar 2024
Q29.
Choose the correct options from the following.
@passage
A
{
[
1
−
1
1
−
1
]
,
[
1
−
1
0
0
]
,
[
0
0
1
−
1
]
}
\left\{\begin{bmatrix}1&-1\\1&-1\end{bmatrix},\begin{bmatrix}1&-1\\0&0\end{bmatrix},\begin{bmatrix}0&0\\1&-1\end{bmatrix}\right\}
{
[
1
1
−
1
−
1
]
,
[
1
0
−
1
0
]
,
[
0
1
0
−
1
]
}
is a basis of
V
V
V
.
B
Any matrix in
V
V
V
has rank less than or equal to
1
1
1
.
C
rank
(
T
)
=
2
\operatorname{rank}(T)=2
rank
(
T
)
=
2
.
D
dim
(
V
)
=
3
\dim(V)=3
dim
(
V
)
=
3
.
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Details
Q29
00:00
24 Mar 2024
Q29.
Choose the correct options from the following.
@passage
A
{
[
1
−
1
1
−
1
]
,
[
1
−
1
0
0
]
,
[
0
0
1
−
1
]
}
\left\{\begin{bmatrix}1&-1\\1&-1\end{bmatrix},\begin{bmatrix}1&-1\\0&0\end{bmatrix},\begin{bmatrix}0&0\\1&-1\end{bmatrix}\right\}
{
[
1
1
−
1
−
1
]
,
[
1
0
−
1
0
]
,
[
0
1
0
−
1
]
}
is a basis of
V
V
V
.
B
Any matrix in
V
V
V
has rank less than or equal to
1
1
1
.
C
rank
(
T
)
=
2
\operatorname{rank}(T)=2
rank
(
T
)
=
2
.
D
dim
(
V
)
=
3
\dim(V)=3
dim
(
V
)
=
3
.
Save
Read
Check
Details
