MathCastle
Linear AlgebraHardLinear Transformations

Linear Transformations · Hard problem

The linear map T(x)=AxT(\mathbf{x}) = A\mathbf{x} with A=(−25−3−1)A = \begin{pmatrix}-2 & 5 \\ -3 & -1\end{pmatrix} is applied to a region of area 33. What is the area of the image?