Question 9 - Week 5 Practice | Prasnya
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Week 5
Field
IITM-DS
Exam
Quiz 2
Subject
Mathematics 2
Week
Week 5
Question 9 of 19
Practice question
00:00
Est. 3 min
Marks
+3.00
0.00
Question
Select all true statements.
Multiple correct
Medium Difficulty
04 August 2024
A
For a matrix
A
A
of dimensions
m
×
n
m\times n
, the rank of the matrix is equal to
min
{
m
,
n
}
\min\{m,n\}
.
B
The nullity of an invertible matrix is always zero.
C
For a matrix
A
A
of dimensions
m
×
n
m\times n
, the row space of
A
A
is the same as the column space of
A
A
.
D
If
A
A
and
B
B
are square matrices of order
n
n
such that
rank
(
A
B
)
=
n
\operatorname{rank}(AB)=n
, then both
A
A
and
B
B
must be invertible.
