Sebuah titik K (-2,4) direfleksikan terhadap garis 2y-x = 0 dan y-x = 0. Koordinat bayangan titik K adalah...

jawab


T1 refleksi 2y-x =0
T2 refleksi y-x =0

K' = T2 o T1 [K]


[tex] K' \,= \left[\begin{array}{ccc}0&1\\1&0\end{array}\right] \left[\begin{array}{ccc} \frac{2}{ \sqrt{3} } &- \frac{1}{ \sqrt{3} }\\ \frac{1}{ \sqrt{3} }&\frac{2}{ \sqrt{3} }\end{array}\right] \left[\begin{array}{ccc}-2\\4\end{array}\right]\,= \left[\begin{array}{ccc} \frac{6}{ \sqrt{3} } \\ -\frac{}{ \sqrt{3} } \end{array}\right] [/tex]