Prasnya
Prasnya
Prasnya
Continue with Google
Question 21 - Week 6 Practice | Prasnya
Q21
00:00
4 Aug 2024
Q21.
Let
A
=
[
x
−
4
3
y
]
A=\begin{bmatrix}x&-4\\3&y\end{bmatrix}
A
=
[
x
3
−
4
y
]
and
T
:
R
2
→
R
T:\mathbb{R}^2\to\mathbb{R}
T
:
R
2
→
R
be the linear transformation given by
T
(
x
,
y
)
=
trace
(
A
)
T(x,y)=\operatorname{trace}(A)
T
(
x
,
y
)
=
trace
(
A
)
. Which statement is true?
A
T
T
T
is injective but not surjective.
B
T
T
T
is surjective but not injective.
C
T
T
T
is an isomorphism.
D
T
T
T
is neither injective nor surjective.
Save
Check
Details
Q21
00:00
4 Aug 2024
Q21.
Let
A
=
[
x
−
4
3
y
]
A=\begin{bmatrix}x&-4\\3&y\end{bmatrix}
A
=
[
x
3
−
4
y
]
and
T
:
R
2
→
R
T:\mathbb{R}^2\to\mathbb{R}
T
:
R
2
→
R
be the linear transformation given by
T
(
x
,
y
)
=
trace
(
A
)
T(x,y)=\operatorname{trace}(A)
T
(
x
,
y
)
=
trace
(
A
)
. Which statement is true?
A
T
T
T
is injective but not surjective.
B
T
T
T
is surjective but not injective.
C
T
T
T
is an isomorphism.
D
T
T
T
is neither injective nor surjective.
Save
Check
Details
