An algebra problem by Aritra Chakraborty

Algebra Level pending

P is a matrix of order 2×2, A is amatrix of order 2×2. The elements of p are r11=3^.5÷2, r12=.5, r21=-.5, r22=r11 . The elements of A are r11=r12=r22=1, r21=0. And Q=PA(P TRANSPOSE) then| (P TRANSPOSE)(Q^2005)P| IS

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