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Problems
Let
A
=
(
2
1
1
1
)
,
B
=
(
1
−
1
−
1
p
)
A=\begin{pmatrix}2 & 1\\ 1 & 1\end{pmatrix},\quad B=\begin{pmatrix}1 & -1\\ -1 & p\end{pmatrix}
A
=
(
2
1
1
1
)
,
B
=
(
1
−
1
−
1
p
)
…
Mathematics
Problem
Let
A
=
(
2
1
1
1
)
,
B
=
(
1
−
1
−
1
p
)
A=\begin{pmatrix}2 & 1\\ 1 & 1\end{pmatrix},\quad B=\begin{pmatrix}1 & -1\\ -1 & p\end{pmatrix}
A
=
(
2
1
1
1
)
,
B
=
(
1
−
1
−
1
p
)
with
A
B
=
I
2
AB=I_2
A
B
=
I
2
. Find the value of
p
p
p
.
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