題組內容
2. Let $L: \mathbf{R}^2 \to \mathbf{R}^3$ be $L(\mathbf{x}) = (x2, x1 - x2, x2 - x_1)^\mathrm{T}$.
(a) \( (10\%) \) Show that \( L \) is a linear transformation.
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2. Let $L: \mathbf{R}^2 \to \mathbf{R}^3$ be $L(\mathbf{x}) = (x2, x1 - x2, x2 - x_1)^\mathrm{T}$.
(a) \( (10\%) \) Show that \( L \) is a linear transformation.