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Mathematics
Problem
Let
A
=
(
1
1
0
0
1
1
0
0
1
)
A=\begin{pmatrix}1 & 1 & 0 \\ 0 & 1 & 1 \\ 0 & 0 & 1\end{pmatrix}
A
=
1
0
0
1
1
0
0
1
1
and
B
=
(
1
−
1
b
0
1
−
1
0
0
1
)
B=\begin{pmatrix}1 & -1 & b \\ 0 & 1 & -1 \\ 0 & 0 & 1\end{pmatrix}
B
=
1
0
0
−
1
1
0
b
−
1
1
. If
A
B
=
I
3
AB=I_3
A
B
=
I
3
, find
b
b
b
. a)
−
1
-1
−
1
b)
1
1
1
c)
2
2
2
d)
0
0
0
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