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If A(x)=(1)/(sqrt(1-x^(2)))[(1,-x),(-x,1...

If `A(x)=(1)/(sqrt(1-x^(2)))[(1,-x),(-x,1)]`, prove that : `A(x)A(y)=A((x+y),(1+xy))`, where `|x|lt1`.
Hence, deduce that `(A(x))^(-1)=A(-x)`.

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