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Mathematics
Mathematics
Problem
Let
A
=
(
1
2
−
1
k
)
A=\begin{pmatrix}1 & 2 \\ -1 & k\end{pmatrix}
A
=
(
1
−
1
2
k
)
and
B
=
(
k
−
2
1
1
)
B=\begin{pmatrix}k & -2 \\ 1 & 1\end{pmatrix}
B
=
(
k
1
−
2
1
)
. If
A
B
=
I
2
AB=I_2
A
B
=
I
2
, find the value of
k
k
k
. a)
k
=
−
2
k=-2
k
=
−
2
b)
k
=
0
k=0
k
=
0
c)
k
=
−
1
k=-1
k
=
−
1
d)
k
=
1
k=1
k
=
1
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