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Determinantsmedium
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A 2×22 \times 22×2 matrix AAA has det⁡(A)=−6\det(A) = -6det(A)=−6. When the linear transformation T(x)=AxT(\mathbf{x}) = A\mathbf{x}T(x)=Ax is applied to a region in the plane, areas are scaled by a factor of: