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Question 39 - Week 4 Practice | Prasnya
Q39
00:00
29 Oct 2023
Q39.
Which of the following sets form a basis for
W
W
W
?
@passage
A
S
=
{
[
1
0
0
0
]
,
[
0
0
0
1
]
,
[
0
1
−
1
0
]
}
S=\left\{\begin{bmatrix}1&0\\0&0\end{bmatrix},\begin{bmatrix}0&0\\0&1\end{bmatrix},\begin{bmatrix}0&1\\-1&0\end{bmatrix}\right\}
S
=
{
[
1
0
0
0
]
,
[
0
0
0
1
]
,
[
0
−
1
1
0
]
}
B
S
=
{
[
0
1
0
0
]
,
[
0
0
−
1
0
]
}
S=\left\{\begin{bmatrix}0&1\\0&0\end{bmatrix},\begin{bmatrix}0&0\\-1&0\end{bmatrix}\right\}
S
=
{
[
0
0
1
0
]
,
[
0
−
1
0
0
]
}
C
S
=
{
[
0
1
−
1
0
]
}
S=\left\{\begin{bmatrix}0&1\\-1&0\end{bmatrix}\right\}
S
=
{
[
0
−
1
1
0
]
}
D
S
=
{
[
0
1
0
0
]
,
[
0
0
1
0
]
}
S=\left\{\begin{bmatrix}0&1\\0&0\end{bmatrix},\begin{bmatrix}0&0\\1&0\end{bmatrix}\right\}
S
=
{
[
0
0
1
0
]
,
[
0
1
0
0
]
}
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Q39
00:00
29 Oct 2023
Q39.
Which of the following sets form a basis for
W
W
W
?
@passage
A
S
=
{
[
1
0
0
0
]
,
[
0
0
0
1
]
,
[
0
1
−
1
0
]
}
S=\left\{\begin{bmatrix}1&0\\0&0\end{bmatrix},\begin{bmatrix}0&0\\0&1\end{bmatrix},\begin{bmatrix}0&1\\-1&0\end{bmatrix}\right\}
S
=
{
[
1
0
0
0
]
,
[
0
0
0
1
]
,
[
0
−
1
1
0
]
}
B
S
=
{
[
0
1
0
0
]
,
[
0
0
−
1
0
]
}
S=\left\{\begin{bmatrix}0&1\\0&0\end{bmatrix},\begin{bmatrix}0&0\\-1&0\end{bmatrix}\right\}
S
=
{
[
0
0
1
0
]
,
[
0
−
1
0
0
]
}
C
S
=
{
[
0
1
−
1
0
]
}
S=\left\{\begin{bmatrix}0&1\\-1&0\end{bmatrix}\right\}
S
=
{
[
0
−
1
1
0
]
}
D
S
=
{
[
0
1
0
0
]
,
[
0
0
1
0
]
}
S=\left\{\begin{bmatrix}0&1\\0&0\end{bmatrix},\begin{bmatrix}0&0\\1&0\end{bmatrix}\right\}
S
=
{
[
0
0
1
0
]
,
[
0
1
0
0
]
}
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