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Linear AlgebraHardLinear Transformations

Linear Transformations · Hard problem

The linear map T(x)=AxT(\mathbf{x}) = A\mathbf{x} with A=(4−15−2)A = \begin{pmatrix}4 & -1 \\ 5 & -2\end{pmatrix} is applied to a region of area 99. What is the area of the image?