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Determinantsmedium
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If det⁡(abcd)=10\det \begin{pmatrix} a & b \\ c & d \end{pmatrix} = 10det(ac​bd​)=10, what is det⁡(2a2b3c3d)\det \begin{pmatrix} 2a & 2b \\ 3c & 3d \end{pmatrix}det(2a3c​2b3d​)?