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Mathematics
Mathematics
Problem
Let
A
=
(
2
1
0
2
)
A=\begin{pmatrix}2&1\\0&2\end{pmatrix}
A
=
(
2
0
1
2
)
and
B
=
(
x
1
0
1
)
B=\begin{pmatrix}x&1\\0&1\end{pmatrix}
B
=
(
x
0
1
1
)
, where
x
∈
R
x\in\mathbb R
x
∈
R
. Determine all real values of
x
x
x
for which
A
B
≠
B
A
AB\ne BA
A
B
=
B
A
.
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