Ononot — Let V be the space of 2 \times 2 matrices. Consider the tran

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Vectors & Spaceshard

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Let $V$ be the space of $2 \times 2$ matrices. Consider the transformation $T(A) = \begin{pmatrix} 1 & 1 \\ 0 & 1 \end{pmatrix} A$ . What is the determinant of this transformation (viewed as a linear map on $V$ )?