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Question 35 - Week 4 Practice | Prasnya
Q35
00:00
29 Oct 2023
Q35.
Choose the correct option(s) from the following statements.
@passage
A
The set
{
(
1
,
0
,
−
2
)
,
(
0
,
1
,
1
)
}
\{(1,0,-2),(0,1,1)\}
{(
1
,
0
,
−
2
)
,
(
0
,
1
,
1
)}
forms a basis for
W
1
W_1
W
1
.
B
W
2
W_2
W
2
is the set of all solutions of the system
A
X
=
0
AX=0
A
X
=
0
, where
A
=
[
2
2
−
1
1
1
−
3
]
A=\begin{bmatrix}2&2\\-1&1\\1&-3\end{bmatrix}
A
=
2
−
1
1
2
1
−
3
.
C
The intersection of
W
1
W_1
W
1
and
W
3
W_3
W
3
is the line
y
=
2
x
y=2x
y
=
2
x
.
D
The intersection of
W
1
W_1
W
1
and
W
2
W_2
W
2
is spanned by the vector
(
2
,
1
,
0
)
(2,1,0)
(
2
,
1
,
0
)
.
E
W
2
W_2
W
2
is the straight line in
R
3
\mathbb{R}^3
R
3
passing through the origin and the vector
(
1
,
4
,
2
)
(1,4,2)
(
1
,
4
,
2
)
.
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Details
Q35
00:00
29 Oct 2023
Q35.
Choose the correct option(s) from the following statements.
@passage
A
The set
{
(
1
,
0
,
−
2
)
,
(
0
,
1
,
1
)
}
\{(1,0,-2),(0,1,1)\}
{(
1
,
0
,
−
2
)
,
(
0
,
1
,
1
)}
forms a basis for
W
1
W_1
W
1
.
B
W
2
W_2
W
2
is the set of all solutions of the system
A
X
=
0
AX=0
A
X
=
0
, where
A
=
[
2
2
−
1
1
1
−
3
]
A=\begin{bmatrix}2&2\\-1&1\\1&-3\end{bmatrix}
A
=
2
−
1
1
2
1
−
3
.
C
The intersection of
W
1
W_1
W
1
and
W
3
W_3
W
3
is the line
y
=
2
x
y=2x
y
=
2
x
.
D
The intersection of
W
1
W_1
W
1
and
W
2
W_2
W
2
is spanned by the vector
(
2
,
1
,
0
)
(2,1,0)
(
2
,
1
,
0
)
.
E
W
2
W_2
W
2
is the straight line in
R
3
\mathbb{R}^3
R
3
passing through the origin and the vector
(
1
,
4
,
2
)
(1,4,2)
(
1
,
4
,
2
)
.
Save
Read
Check
Details
