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Mathematics
Problem
For which value of
k
k
k
does the product of the matrices
A
=
[
1
k
2
2
k
]
,
B
=
[
2
4
−
1
−
2
]
A=\begin{bmatrix}1&k\\2&2k\end{bmatrix}, \qquad B=\begin{bmatrix}2&4\\-1&-2\end{bmatrix}
A
=
[
1
2
k
2
k
]
,
B
=
[
2
−
1
4
−
2
]
satisfy
A
B
=
O
AB=O
A
B
=
O
? a)
−
2
-2
−
2
b)
2
2
2
c)
−
1
2
-\dfrac{1}{2}
−
2
1
d)
1
1
1
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