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If
P
=
[
3
2
1
2
−
1
2
3
2
]
P = \begin{bmatrix} \frac{\sqrt{3}}{2} & \frac{1}{2} \\ -\frac{1}{2} & \frac{\sqrt{3}}{2} \end{bmatrix}
P
=
[
2
3
−
2
1
2
1
2
3
]
…
Mathematics
Problem
If
P
=
[
3
2
1
2
−
1
2
3
2
]
P = \begin{bmatrix} \frac{\sqrt{3}}{2} & \frac{1}{2} \\ -\frac{1}{2} & \frac{\sqrt{3}}{2} \end{bmatrix}
P
=
[
2
3
−
2
1
2
1
2
3
]
,
A
=
[
1
1
0
1
]
A = \begin{bmatrix} 1 & 1 \\ 0 & 1 \end{bmatrix}
A
=
[
1
0
1
1
]
and
Q
=
P
A
P
T
Q = PAP^T
Q
=
P
A
P
T
, then
P
(
Q
2005
)
P
T
P(Q^{2005})P^T
P
(
Q
2005
)
P
T
equal to ________.
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