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Mathematics
Mathematics
Problem
Let
A
=
[
1
1
2
2
]
.
A=\begin{bmatrix}1&1\\2&2\end{bmatrix}.
A
=
[
1
2
1
2
]
.
Which one of the following matrices
B
B
B
satisfies both
A
B
=
O
AB=O
A
B
=
O
and
B
A
≠
O
BA\neq O
B
A
=
O
? a)
[
2
−
1
−
2
1
]
\begin{bmatrix}2&-1\\-2&1\end{bmatrix}
[
2
−
2
−
1
1
]
b)
[
0
0
0
0
]
\begin{bmatrix}0&0\\0&0\end{bmatrix}
[
0
0
0
0
]
c)
[
1
−
1
−
1
1
]
\begin{bmatrix}1&-1\\-1&1\end{bmatrix}
[
1
−
1
−
1
1
]
d)
[
2
4
−
1
−
2
]
\begin{bmatrix}2&4\\-1&-2\end{bmatrix}
[
2
−
1
4
−
2
]
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