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Question 19 - Week 7 Practice | Prasnya
Q19
00:00
1 Dec 2024
Q19.
Consider the system
A
x
=
b
Ax=b
A
x
=
b
, where
A
A
A
is an
m
×
n
m\times n
m
×
n
matrix and
b
∈
R
m
b\in\mathbb{R}^m
b
∈
R
m
. Choose all options that guarantee that the solution set is an affine subspace of
R
n
\mathbb{R}^n
R
n
.
A
b
=
0
b=0
b
=
0
.
B
b
b
b
is in the column space of
A
A
A
.
C
rank
(
A
)
=
n
\operatorname{rank}(A)=n
rank
(
A
)
=
n
.
D
m
=
n
m=n
m
=
n
and
A
A
A
is an invertible matrix.
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Details
Q19
00:00
1 Dec 2024
Q19.
Consider the system
A
x
=
b
Ax=b
A
x
=
b
, where
A
A
A
is an
m
×
n
m\times n
m
×
n
matrix and
b
∈
R
m
b\in\mathbb{R}^m
b
∈
R
m
. Choose all options that guarantee that the solution set is an affine subspace of
R
n
\mathbb{R}^n
R
n
.
A
b
=
0
b=0
b
=
0
.
B
b
b
b
is in the column space of
A
A
A
.
C
rank
(
A
)
=
n
\operatorname{rank}(A)=n
rank
(
A
)
=
n
.
D
m
=
n
m=n
m
=
n
and
A
A
A
is an invertible matrix.
Save
Check
Details
