Question 12 - Week 5 Practice | Prasnya
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Practice route
Week 5
Field
IITM-DS
Exam
Quiz 2
Subject
Mathematics 2
Week
Week 5
Question 12 of 19
Practice question
00:00
Est. 2 min
Marks
+2.00
0.00
Question
Which of the following functions are linear transformations?
Multiple correct
Easy Difficulty
03 December 2023
A
T
:
R
→
R
T:\mathbb{R}\to\mathbb{R}
,
T
(
x
)
=
2
x
+
1
T(x)=2x+1
.
B
T
:
R
4
→
R
2
T:\mathbb{R}^4\to\mathbb{R}^2
,
T
(
x
,
y
,
z
,
w
)
=
(
x
+
y
,
z
+
w
)
T(x,y,z,w)=(x+y,z+w)
.
C
T
:
R
3
→
R
3
T:\mathbb{R}^3\to\mathbb{R}^3
,
T
(
x
,
y
,
z
)
=
(
−
y
,
−
x
,
0
)
T(x,y,z)=(-y,-x,0)
.
D
T
:
R
→
R
2
T:\mathbb{R}\to\mathbb{R}^2
,
T
(
x
)
=
(
x
+
1
,
x
−
1
)
T(x)=(x+1,x-1)
.
