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Mathematics
Mathematics
Problem
Let
A
=
(
1
0
0
2
1
0
3
4
1
)
A=\begin{pmatrix}1 & 0 & 0\\ 2 & 1 & 0\\ 3 & 4 & 1\end{pmatrix}
A
=
1
2
3
0
1
4
0
0
1
and
B
=
(
1
0
0
−
2
1
0
5
−
4
1
)
B=\begin{pmatrix}1 & 0 & 0\\ -2 & 1 & 0\\ 5 & -4 & 1\end{pmatrix}
B
=
1
−
2
5
0
1
−
4
0
0
1
. Show that
A
B
=
I
3
AB=I_3
A
B
=
I
3
and hence conclude that
B
B
B
is the inverse of
A
A
A
.
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