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Problem
Problem
If
A
=
[
1
2
−
2
3
]
A = \begin{bmatrix} 1 & 2 \\ -2 & 3 \end{bmatrix}
A
=
[
1
−
2
2
3
]
,
B
=
[
2
1
2
3
]
B = \begin{bmatrix} 2 & 1 \\ 2 & 3 \end{bmatrix}
B
=
[
2
2
1
3
]
, and
C
=
[
−
3
1
2
0
]
C = \begin{bmatrix} -3 & 1 \\ 2 & 0 \end{bmatrix}
C
=
[
−
3
2
1
0
]
, verify that
(
A
B
)
C
=
A
(
B
C
)
(AB)C = A(BC)
(
A
B
)
C
=
A
(
B
C
)
and
A
(
B
+
C
)
=
A
B
+
A
C
A(B+C) = AB+AC
A
(
B
+
C
)
=
A
B
+
A
C
.
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