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Mathematics
Mathematics
Problem
For the matrices
A
=
(
a
1
1
0
)
,
B
=
(
0
b
1
a
)
A=\begin{pmatrix}a & 1\\ 1 & 0\end{pmatrix},\quad B=\begin{pmatrix}0 & b\\ 1 & a\end{pmatrix}
A
=
(
a
1
1
0
)
,
B
=
(
0
1
b
a
)
assume that both
A
B
=
I
2
AB=I_2
A
B
=
I
2
and
B
A
=
I
2
BA=I_2
B
A
=
I
2
hold. Determine the values of
a
a
a
and
b
b
b
.
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