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Question 32 - Week 4 Practice | Prasnya
Q32
00:00
25 Feb 2024
Q32.
W
2
=
{
[
a
0
0
0
b
0
0
0
c
]
:
a
,
b
,
c
∈
R
such that
a
=
b
=
c
}
W_2=\left\{\begin{bmatrix}a&0&0\\0&b&0\\0&0&c\end{bmatrix}:a,b,c\in\mathbb{R}\text{ such that }a=b=c\right\}
W
2
=
⎩
⎨
⎧
a
0
0
0
b
0
0
0
c
:
a
,
b
,
c
∈
R
such that
a
=
b
=
c
⎭
⎬
⎫
. If
W
2
W_2
W
2
is a subspace, find the dimension; else write the answer as
0
0
0
.
@passage
Your Answer
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Q32
00:00
25 Feb 2024
Q32.
W
2
=
{
[
a
0
0
0
b
0
0
0
c
]
:
a
,
b
,
c
∈
R
such that
a
=
b
=
c
}
W_2=\left\{\begin{bmatrix}a&0&0\\0&b&0\\0&0&c\end{bmatrix}:a,b,c\in\mathbb{R}\text{ such that }a=b=c\right\}
W
2
=
⎩
⎨
⎧
a
0
0
0
b
0
0
0
c
:
a
,
b
,
c
∈
R
such that
a
=
b
=
c
⎭
⎬
⎫
. If
W
2
W_2
W
2
is a subspace, find the dimension; else write the answer as
0
0
0
.
@passage
Your Answer
Save
Read
Check
Details
