Word Count : 245

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To describe the linear transformation \( T: \mathbb{R}^2 \rightarrow \mathbb{R}^2 \) such that its matrix representation with respect to the standard basis \( B = \{ \mathbf{e}_1, \mathbf{e}_2 \} \) is: \[ [T]_B = \begin{bmatrix} 1 & 2 \\ 2 & 0 \end{bmatrix} \] We know that the matrix ________ ___ ______ _________ _____ _______ _____ _________.
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