Question 39 - Week 1 Practice | Prasnya
Prasnya
Continue with Google
Practice path
Dashboard
Exam
Qualifier / Quiz 1
Go to subject
Mathematics 2
Go to chapter
Week 1
Question 39
00:00
Est. 3 min
Marks:
+2.00
0.00
Which of the following matrices satisfy
A
k
=
0
A^k=0
for some natural number
k
k
?
Multiple correct
Hard Difficulty
16 July 2023
A
[
4
−
4
0
0
4
−
4
0
0
0
0
4
−
4
0
0
4
−
4
]
\begin{bmatrix}4&-4&0&0\\4&-4&0&0\\0&0&4&-4\\0&0&4&-4\end{bmatrix}
B
[
0
3
2
1
0
0
2
2
0
0
0
3
0
0
0
0
]
\begin{bmatrix}0&3&2&1\\0&0&2&2\\0&0&0&3\\0&0&0&0\end{bmatrix}
C
[
0
1
1
1
1
0
1
1
1
1
0
1
1
1
1
0
]
\begin{bmatrix}0&1&1&1\\1&0&1&1\\1&1&0&1\\1&1&1&0\end{bmatrix}
D
[
−
1
0
0
1
0
−
1
0
2
0
0
−
1
2
1
0
0
0
]
\begin{bmatrix}-1&0&0&1\\0&-1&0&2\\0&0&-1&2\\1&0&0&0\end{bmatrix}
