Algebra Archive: Questions from January 08, 2023
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Compute \( \left(T_{3} \circ T_{2} \circ T_{1}\right)(x, y) \cdot T_{1}(x, y)=(-2 y, 3 x, x-2 y) \), \( T_{2}(x, y, z)=(y, z, x), T_{3}(x, y, z)=(x+z, y-z) \). \( \left(T_{3} \circ T_{2} \circ T_{1}\r2 answers -
(1 point) Let \( \vec{x}=\left[\begin{array}{l}1 \\ 6 \\ 0\end{array}\right] \) and \( y=\left[\begin{array}{c}5 \\ 1 \\ -4\end{array}\right] \). Find the vectors \( \vec{v}=7 \vec{x}, \vec{u}=\vec{x}2 answers