題組內容
5. Define a mapping from $\mathbf{R}^3$ to $\mathbf{R}^2$: $L(\mathbf{x}) = (2x_2 + 5x_3, 3x_1 + x_2)^7$.
(a)(5%) Show that the mapping \( L \) is a linear transformation.
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5. Define a mapping from $\mathbf{R}^3$ to $\mathbf{R}^2$: $L(\mathbf{x}) = (2x_2 + 5x_3, 3x_1 + x_2)^7$.
(a)(5%) Show that the mapping \( L \) is a linear transformation.