Question 3 - Week 1 Practice | Prasnya
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Week 1
Question 3
00:00
Est. 3 min
Marks:
+6.00
0.00
Let
A
A
be a square matrix of order
n
>
1
n>1
. Select all the statements which imply that
det
(
A
)
=
0
\det(A)=0
.
Multiple correct
Medium Difficulty
26 October 2025
A
All the entries of one of the columns of
A
A
are zero.
B
One of the columns of
A
A
is a scalar multiple of another column.
C
The diagonal entries of
A
A
are all zero.
D
The determinant of the transpose of
A
A
is zero.
E
A
2
=
0
A^2=0
.
