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Question 36 - Week 6 Practice | Prasnya
Q36
00:00
3 Dec 2023
Q36.
Let
T
T
T
be a linear transformation from
R
2
\mathbb{R}^2
R
2
to
R
3
\mathbb{R}^3
R
3
. Let
S
⊂
R
2
S\subset\mathbb{R}^2
S
⊂
R
2
be a line passing through the origin. Which of the following are possible?
A
T
(
S
)
T(S)
T
(
S
)
could be the origin in
R
3
\mathbb{R}^3
R
3
.
B
T
(
S
)
T(S)
T
(
S
)
could be a line passing through the origin in
R
3
\mathbb{R}^3
R
3
.
C
T
(
S
)
T(S)
T
(
S
)
could be a plane passing through the origin in
R
3
\mathbb{R}^3
R
3
.
D
T
(
S
)
T(S)
T
(
S
)
could be
R
3
\mathbb{R}^3
R
3
.
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Details
Q36
00:00
3 Dec 2023
Q36.
Let
T
T
T
be a linear transformation from
R
2
\mathbb{R}^2
R
2
to
R
3
\mathbb{R}^3
R
3
. Let
S
⊂
R
2
S\subset\mathbb{R}^2
S
⊂
R
2
be a line passing through the origin. Which of the following are possible?
A
T
(
S
)
T(S)
T
(
S
)
could be the origin in
R
3
\mathbb{R}^3
R
3
.
B
T
(
S
)
T(S)
T
(
S
)
could be a line passing through the origin in
R
3
\mathbb{R}^3
R
3
.
C
T
(
S
)
T(S)
T
(
S
)
could be a plane passing through the origin in
R
3
\mathbb{R}^3
R
3
.
D
T
(
S
)
T(S)
T
(
S
)
could be
R
3
\mathbb{R}^3
R
3
.
Save
Check
Details
