Question 34 - Week 7 Practice | Prasnya
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Practice route
Week 7
Field
IITM-DS
Exam
Quiz 2
Subject
Mathematics 2
Week
Week 7
Question 34 of 43
Practice question
00:00
Est. 2 min
Marks
+2.00
0.00
Question
Which of the following options are true?
Multiple correct
Medium Difficulty
20 November 2022
A
Every matrix is similar to itself.
B
If
A
A
is similar to
B
B
, then
A
−
1
A^{-1}
is similar to
B
−
1
B^{-1}
.
C
[
2
1
0
2
]
\begin{bmatrix}2&1\\0&2\end{bmatrix}
is similar to
[
2
0
0
2
]
\begin{bmatrix}2&0\\0&2\end{bmatrix}
.
D
If
A
A
is similar to
B
+
C
B+C
, then
rank
(
A
)
=
rank
(
B
)
+
rank
(
C
)
\operatorname{rank}(A)=\operatorname{rank}(B)+\operatorname{rank}(C)
.
