Word Count : 200

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We are given a linear transformation $$ T: \mathbb{R}^2 \to \mathbb{R}^2 $$ with matrix representation with respect to the standard basis $B = \{ \mathbf{e}_1, \mathbf{e}_2 \}$, where: $$ [T]_B = \begin{bmatrix} 1 & 2 \\ 2 & 0 \end{bmatrix} $$ --- ### Step-by-step: This matrix tells us how $T$ _______ _____ ____ ___ ______ _____ _____ _________ ____ ___ _______ ___.
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