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Mathematics
Mathematics
Problem
Let
A
=
[
0
1
2
3
]
A=\begin{bmatrix}0&1\\2&3\end{bmatrix}
A
=
[
0
2
1
3
]
and
B
=
[
1
0
4
5
]
B=\begin{bmatrix}1&0\\4&5\end{bmatrix}
B
=
[
1
4
0
5
]
. a. (i) State the commutative property of matrix multiplication. b. (ii) Calculate
A
B
AB
A
B
and
B
A
BA
B
A
. c. (iii) Using the results of part (ii), explain why matrix multiplication is, in general, not commutative.
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