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Linear AlgebraHardLinear Transformations

Linear Transformations · Hard problem

The linear map T(x)=AxT(\mathbf{x}) = A\mathbf{x} with A=(2−4−43)A = \begin{pmatrix}2 & -4 \\ -4 & 3\end{pmatrix} is applied to a region of area 88. What is the area of the image?