If math xmlns=http://www.w3.org/1998/Math/MathMLmi mathvariant=norm...

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If math xmlns=http://www.w3.org/1998/Math/MathMLmi mathvariant=normalP/mi/mathis an orthogonal matrix and math xmlns=http://www.w3.org/1998/Math/MathMLmi mathvariant=normalQ/mimo=/momsupmiPAP/mimi mathvariant=normalT/mi/msup/math and \( \mathrm{B}= \) \( \mathrm{P}^{\mathrm{T}} \mathrm{Q}^{1000} \mathrm{P} \) then math xmlns=http://www.w3.org/1998/Math/MathMLmi mathvariant=normalB/mi/math is, where math xmlns=http://www.w3.org/1998/Math/MathMLmi mathvariant=normalA/mi/math is involutory matrix
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