Question 42 - Week 4 Practice | Prasnya
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Week 4
Question 42
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What is the dimension of vector spaces for the given subquestions?
Question
V
2
=
{
A
∈
M
3
(
R
)
:
sum of the diagonal entries of
A
is
0
and sum of each row is
0
}
V_2=\{A\in M_3(\mathbb{R}):\text{sum of the diagonal entries of }A\text{ is }0\text{ and sum of each row is }0\}
with usual addition and scalar multiplication of matrices. Find
dim
(
V
2
)
\dim(V_2)
.
Comprehension
Medium Difficulty
16 July 2023
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