題組內容
5. (15%) Let the mapping \( L: \mathbf{R}^3 \to \mathbf{R}^2 \) be defined by: \( L(\mathbf{x}) = (x1 + 2x2, 3x2 + x3)^T \).
(a) Show that the mapping \( L \) is a linear transformation.
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5. (15%) Let the mapping \( L: \mathbf{R}^3 \to \mathbf{R}^2 \) be defined by: \( L(\mathbf{x}) = (x1 + 2x2, 3x2 + x3)^T \).
(a) Show that the mapping \( L \) is a linear transformation.