For the triangle with

MATHEMATICS · Subjective · AP · AP Precalculus · Functions with Parameters, Vectors, and Matrices · Functions with Parameters, Vectors, and Matrices

Problem

For the triangle

DEF

with

D(-1,2)

E(3,5)

and

F(2,-1)

, a linear transformation

T

is represented by the matrix

\begin{pmatrix}0&-1\\1&0\end{pmatrix}

. Find the area of the triangle

T(DEF)

(in square units).