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Mathematics
Mathematics
Problem
Let
A
=
[
1
−
2
3
3
2
−
1
]
A = \begin{bmatrix} 1 & -2 & 3 \\ 3 & 2 & -1 \end{bmatrix}
A
=
[
1
3
−
2
2
3
−
1
]
and
B
=
[
2
3
−
1
2
4
−
5
]
B = \begin{bmatrix} 2 & 3 \\ -1 & 2 \\ 4 & -5 \end{bmatrix}
B
=
2
−
1
4
3
2
−
5
. Find
A
B
AB
A
B
and
B
A
BA
B
A
and show that
A
B
≠
B
A
AB \neq BA
A
B
=
B
A
.
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