Question 21 - Week 3 Practice | Prasnya
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Week 3
Question 21
00:00
Est. 2 min
Marks:
+2.00
0.00
Consider the set
W
=
{
A
∈
M
n
(
R
)
:
det
(
A
T
)
=
0
}
W=\{A\in M_n(\mathbb{R}):\det(A^T)=0\}
with the usual addition and usual scalar multiplication of matrices. Which of the following is/are true?
Multiple correct
Medium Difficulty
16 July 2023
A
W
W
is closed under addition.
B
W
W
is closed under scalar multiplication.
C
W
W
is a vector space.
D
W
W
is not a vector space.
