Bayangan titik A(1,1) dan B(2,3) transformasi berturut turut adalah A’(3,0) dan B’(8,-1).matriks transformasinya adalah?bantu dong!jalannya yang jelas

jawab

A{1,.1)
B(2,3)
A'(3,0)
B'(8,-1)

T = [ A',B'] [ A, B]⁻¹

[tex]T = \left[\begin{array}{ccc}3&8\\0&1\end{array}\right] \left[\begin{array}{ccc}1&2\\1&3\end{array}\right]^{-1} [/tex]

[tex]T = \left[\begin{array}{ccc}3&8\\0&1\end{array}\right] [\frac{1}{3-2}] \left[\begin{array}{ccc}3&-2\\-1&1\end{array}\right][/tex]

[tex]T = \left[\begin{array}{ccc}3&8\\0&1\end{array}\right] \left[\begin{array}{ccc}3&-2\\-1&1\end{array}\right]\,= \left[\begin{array}{ccc}1&2\\1&-1\end{array}\right] [/tex]