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Question 16 - Week 3 Practice | Prasnya
Q16
00:00
25 Feb 2024
Q16.
W
1
=
{
[
a
0
0
0
b
0
0
0
c
]
:
a
,
b
,
c
∈
R
such that
a
+
b
+
c
=
1
}
W_1=\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=1\right\}
W
1
=
⎩
⎨
⎧
a
0
0
0
b
0
0
0
c
:
a
,
b
,
c
∈
R
such that
a
+
b
+
c
=
1
⎭
⎬
⎫
. If
W
1
W_1
W
1
is a subspace, find the dimension; else write the answer as
0
0
0
.
@passage
Your Answer
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Q16
00:00
25 Feb 2024
Q16.
W
1
=
{
[
a
0
0
0
b
0
0
0
c
]
:
a
,
b
,
c
∈
R
such that
a
+
b
+
c
=
1
}
W_1=\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=1\right\}
W
1
=
⎩
⎨
⎧
a
0
0
0
b
0
0
0
c
:
a
,
b
,
c
∈
R
such that
a
+
b
+
c
=
1
⎭
⎬
⎫
. If
W
1
W_1
W
1
is a subspace, find the dimension; else write the answer as
0
0
0
.
@passage
Your Answer
Save
Read
Check
Details
