Matematika

Pertanyaan

bayangan titik A(13,-4) oleh translasi yang memetakan titik B(5,1) ketitik B'(-1,3) adalah

1 Jawaban

  • misal [tex]T=\left(\begin{array}{c}a\\b\end{array}\right)[/tex] adalah matriks transformasinya, maka

    [tex]B+T=B'\\\left(\begin{array}{c}5\\1\end{array}\right)+\left(\begin{array}{c}a\\b\end{array}\right)=\left(\begin{array}{c}-1\\3\end{array}\right)\\\left(\begin{array}{c}5+a\\1+b\end{array}\right)=\left(\begin{array}{c}-1\\3\end{array}\right)\\\\5+a=-1\rightarrow a=-6\\1+b=3\rightarrow b=2\\\\T=\left(\begin{array}{c}-6\\2\end{array}\right)[/tex]

    [tex]A'=A+T\\=\left(\begin{array}{c}13\\-4\end{array}\right)+\left(\begin{array}{c}-6\\2\end{array}\right)\\=\left(\begin{array}{c}7\\-2\end{array}\right)[/tex]

Pertanyaan Lainnya