Spencer Hodgson
06/17/2023 · Senior High School
Dados los vectores : \( \vec{u}_{1}=(1,3,2) \quad \overrightarrow{u_{2}}=(1,5,0) \) \( \vec{u} 3=(-2,-6,5) \) d) Presentar un subespacio de \( R^{3} \) de dimensión 2 que contenga a \( \vec{u}_{2} \) e) ¿Cuanto debe valer \( k \in R \) para que el vector \( \vec{v}=(-3, k, 2) \) sea combinación lineal de \( s=\{\vec{u} 1, \vec{U} 2\} \) Justificar
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d) Un subespacio de \( \mathbb{R}^{3} \) de dimensión 2 que contenga a \( \vec{u}_{2} \) es \( \{\vec{u}_{1}, \vec{u}_{2}\} \) con \( \vec{u}_{1} = (1, 3, 2) \) y \( \vec{u}_{2} = (1, 5, 0) \).
e) \( k = -17 \) para que \( \vec{v} = (-3, k, 2) \) sea combinación lineal de \( \{\vec{u}_{1}, \vec{u}_{2}\} \).
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