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Question 21 - Week 3 Practice | Prasnya
Q21
00:00
16 Jul 2023
Q21.
Consider the set
W
=
{
A
∈
M
n
(
R
)
:
det
(
A
T
)
=
0
}
W=\{A\in M_n(\mathbb{R}):\det(A^T)=0\}
W
=
{
A
∈
M
n
(
R
)
:
det
(
A
T
)
=
0
}
with the usual addition and usual scalar multiplication of matrices. Which of the following is/are true?
A
W
W
W
is closed under addition.
B
W
W
W
is closed under scalar multiplication.
C
W
W
W
is a vector space.
D
W
W
W
is not a vector space.
Save
Check
Details
Q21
00:00
16 Jul 2023
Q21.
Consider the set
W
=
{
A
∈
M
n
(
R
)
:
det
(
A
T
)
=
0
}
W=\{A\in M_n(\mathbb{R}):\det(A^T)=0\}
W
=
{
A
∈
M
n
(
R
)
:
det
(
A
T
)
=
0
}
with the usual addition and usual scalar multiplication of matrices. Which of the following is/are true?
A
W
W
W
is closed under addition.
B
W
W
W
is closed under scalar multiplication.
C
W
W
W
is a vector space.
D
W
W
W
is not a vector space.
Save
Check
Details
