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Question 32 - Week 7 Practice | Prasnya
Q32
00:00
2 Apr 2023
Q32.
Let
B
B
B
denote the matrix of
T
T
T
with respect to the standard ordered bases for
R
2
\mathbb{R}^2
R
2
and
R
3
\mathbb{R}^3
R
3
. Choose the correct options.
@passage
A
A
A
A
is equivalent to
B
B
B
.
B
A
A
A
is not equivalent to
B
B
B
.
C
There exist two invertible matrices
C
C
C
and
D
D
D
such that
B
D
=
C
A
BD=CA
B
D
=
C
A
.
D
There are no matrices
C
C
C
and
D
D
D
such that
B
D
=
C
A
BD=CA
B
D
=
C
A
.
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Details
Q32
00:00
2 Apr 2023
Q32.
Let
B
B
B
denote the matrix of
T
T
T
with respect to the standard ordered bases for
R
2
\mathbb{R}^2
R
2
and
R
3
\mathbb{R}^3
R
3
. Choose the correct options.
@passage
A
A
A
A
is equivalent to
B
B
B
.
B
A
A
A
is not equivalent to
B
B
B
.
C
There exist two invertible matrices
C
C
C
and
D
D
D
such that
B
D
=
C
A
BD=CA
B
D
=
C
A
.
D
There are no matrices
C
C
C
and
D
D
D
such that
B
D
=
C
A
BD=CA
B
D
=
C
A
.
Save
Read
Check
Details