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Mathematics
Mathematics
Problem
Let
A
=
[
0
1
0
0
]
,
B
=
[
0
0
p
0
]
A=\begin{bmatrix}0&1\\0&0\end{bmatrix},\; B=\begin{bmatrix}0&0\\p&0\end{bmatrix}
A
=
[
0
0
1
0
]
,
B
=
[
0
p
0
0
]
, where
p
∈
R
p\in\mathbb R
p
∈
R
. Find the value of
p
p
p
(if any) for which
A
B
=
B
A
AB=BA
A
B
=
B
A
.
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