Prasnya
Prasnya
Prasnya
Continue with Google
Question 45 - Week 6 Practice | Prasnya
Q45
00:00
2 Apr 2023
Q45.
Let
V
=
{
[
a
b
c
d
]
∈
M
2
×
2
(
R
)
:
a
+
b
=
c
+
d
}
V=\left\{\begin{bmatrix}a&b\\c&d\end{bmatrix}\in M_{2\times2}(\mathbb{R}):a+b=c+d\right\}
V
=
{
[
a
c
b
d
]
∈
M
2
×
2
(
R
)
:
a
+
b
=
c
+
d
}
and
T
:
V
→
R
2
T:V\to\mathbb{R}^2
T
:
V
→
R
2
be onto. What is the dimension of
ker
(
T
)
\ker(T)
ker
(
T
)
?
Your Answer
Save
Check
Details
Q45
00:00
2 Apr 2023
Q45.
Let
V
=
{
[
a
b
c
d
]
∈
M
2
×
2
(
R
)
:
a
+
b
=
c
+
d
}
V=\left\{\begin{bmatrix}a&b\\c&d\end{bmatrix}\in M_{2\times2}(\mathbb{R}):a+b=c+d\right\}
V
=
{
[
a
c
b
d
]
∈
M
2
×
2
(
R
)
:
a
+
b
=
c
+
d
}
and
T
:
V
→
R
2
T:V\to\mathbb{R}^2
T
:
V
→
R
2
be onto. What is the dimension of
ker
(
T
)
\ker(T)
ker
(
T
)
?
Your Answer
Save
Check
Details
