(6). Find the area bound by y = 2 x and y = 2x over 0 &lt; x &lt; 2π. (8%)

(6). Find the area bound by y = 2 x and y = 2x over 0 < x < 2π. (8%)

阿摩線上測驗 · 2026-10-22T10:43:40+08:00

(6). Find the area bound by y = 2 x and y = 2x over 0 < x < 2π. (8%)

(3). Let $T: \mathbb{R}^n \to \mathbb{R}^m$ be a linear transformation and A be its standard matrix, that is, $T \vec{x} = A \vec{x}$ for each $\vec{x} \in \mathbb{R}^n$. Please show that the range of T is just the column space of A. (10%)

(6). Find the area bound by \( y = 2\sin x \) and \( y = \sin 2x \) over \( 0 < x < 2\pi \). (8%)

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