Álgebra Linear - 2

y=IR^2 \to IR^2 y=mx [T] m=tag y=mx x' y (x',y') y=mx (x,1,m) x' y' x' = sen (180 - 2\theta ) = sen 2\theta y' = cos (180 - 2\theta ) = -cos 2 \theta [T] = | cos 2\theta sen 2\theta | | sen 2\theta -cos 2\theta | | cos2\theta - sen^2\theta 2 sen\theta·cos\theta | [T]= | 2 sen\theta·cos (\theta sen^2\theta - cos^2\theta | | cos^2\theta - sen^2\theta 2·sen·cos\/theta | | Cos2·cos\theta | ·cos\theta | e-seno 8- cos@\ cos&theta | se\theta •cos^2@· cosº\theta·c 1 [T].= |1 -tag\theta 2 tag\theta | 2tag0 tag^0 - 1| [T]= \frac{1}{1+m^2} | 1+m^2 2 um | | 2 um m^2 - 1 | [T]= m2 - 1 | 1-m^2 |\frac{\frac{-0^2}{1+m^2 2 m |\frac{ 2m}{ 1+m^2} |\frac{ 2m}{2-u^2 |