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Question 20 - Week 7 Practice | Prasnya
Q20
00:00
4 Aug 2024
Q20.
Consider
P
=
1
5
[
3
4
−
4
3
]
P=\frac15\begin{bmatrix}3&4\\-4&3\end{bmatrix}
P
=
5
1
[
3
−
4
4
3
]
and
Q
=
1
5
[
3
−
4
4
3
]
Q=\frac15\begin{bmatrix}3&-4\\4&3\end{bmatrix}
Q
=
5
1
[
3
4
−
4
3
]
. Let
A
A
A
be any
2
×
2
2\times2
2
×
2
matrix and
B
=
P
A
Q
B=PAQ
B
=
P
A
Q
. Which statement is true?
A
A
A
A
and
B
B
B
are similar matrices.
B
A
A
A
and
B
B
B
are equivalent matrices, but not similar.
C
A
A
A
and
B
B
B
are similar matrices, but not equivalent.
D
A
A
A
and
B
B
B
are not equivalent matrices.
Save
Check
Details
Q20
00:00
4 Aug 2024
Q20.
Consider
P
=
1
5
[
3
4
−
4
3
]
P=\frac15\begin{bmatrix}3&4\\-4&3\end{bmatrix}
P
=
5
1
[
3
−
4
4
3
]
and
Q
=
1
5
[
3
−
4
4
3
]
Q=\frac15\begin{bmatrix}3&-4\\4&3\end{bmatrix}
Q
=
5
1
[
3
4
−
4
3
]
. Let
A
A
A
be any
2
×
2
2\times2
2
×
2
matrix and
B
=
P
A
Q
B=PAQ
B
=
P
A
Q
. Which statement is true?
A
A
A
A
and
B
B
B
are similar matrices.
B
A
A
A
and
B
B
B
are equivalent matrices, but not similar.
C
A
A
A
and
B
B
B
are similar matrices, but not equivalent.
D
A
A
A
and
B
B
B
are not equivalent matrices.
Save
Check
Details
