Question 41 - Week 4 Practice | Prasnya
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Week 4
Question 41
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Passage
What is the dimension of vector spaces for the given subquestions?
Question
V
1
=
{
(
x
,
y
,
z
)
∈
R
3
:
2
x
+
3
y
=
0
=
2
z
+
3
x
}
V_1=\{(x,y,z)\in\mathbb{R}^3:2x+3y=0=2z+3x\}
with usual addition and scalar multiplication. Find
dim
(
V
1
)
\dim(V_1)
.
Comprehension
Easy Difficulty
16 July 2023
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