Algebra Archive: Questions from September 30, 2023
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Show that the transformation \( T_{3}(x, y)=\left(\frac{1}{3} x+\frac{2}{3} y,-\frac{1}{3} x+\frac{1}{3} y\right) \) is the inverse of \( T_{1} \). \[ T_{1}(\dot{x}, y)=(x-2 y, x+y) \]1 answer