Question 36 - Week 4 Practice | Prasnya
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Qualifier / Quiz 1
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Mathematics 2
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Week 4
Question 36
00:00
Est. 1 min
Marks:
+1.00
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Passage
Let
W
1
=
{
(
x
,
y
,
z
)
∈
R
3
:
2
x
−
y
+
z
=
0
}
W_1=\{(x,y,z)\in\mathbb{R}^3:2x-y+z=0\}
,
W
2
=
{
(
x
,
y
,
z
)
∈
R
3
:
2
x
−
y
+
z
=
0
,
2
x
+
y
−
3
z
=
0
}
W_2=\{(x,y,z)\in\mathbb{R}^3:2x-y+z=0,\;2x+y-3z=0\}
, and let
W
3
W_3
be the
x
y
xy
-plane. Based on the above data, answer the given subquestions.
Question
Find
dim
(
W
1
+
W
2
)
\dim(W_1+W_2)
.
Comprehension
Easy Difficulty
29 October 2023
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