Week 5 Practice Questions | Prasnya
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Week 5
Question 1
00:00
Est. 2 min
Marks:
+2.00
0.00
Consider the following statements about the function
T
:
R
2
→
R
T:\mathbb{R}^2\to\mathbb{R}
defined by
T
(
x
,
y
)
=
2
x
+
y
+
1
T(x,y)=2x+y+1
, for all
(
x
,
y
)
∈
R
2
(x,y)\in\mathbb{R}^2
. Statement
P
P
:
T
T
is a linear transformation. Statement
Q
Q
:
T
T
is a one-to-one (injective) map. Choose the correct option from the following.
Single correct
Easy Difficulty
13 July 2025
A
Both
P
P
and
Q
Q
are true.
B
P
P
is true and
Q
Q
is false.
C
P
P
is false and
Q
Q
is true.
D
Both
P
P
and
Q
Q
are false.