A=1tanx-tanx1,show that ATA-1=cos2x-sin2xsin2xcos2x.

$A = [\begin{matrix} 1 & \tan (x) \\ - \tan (x) & 1 \end{matrix}]$ ,show that $A^{T} A^{- 1} = [\begin{matrix} \cos (2 x) & - \sin (2 x) \\ \sin (2 x) & \cos (2 x) \end{matrix}]$ .

Matching exercise

Match the items on the right to the items on the left.

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