Mccoy Daniels
06/02/2023 · Elementary School
9. Hallar \( a, b \in \mathbb{R} \), en cada caso, si existen, tal que \( \vec{v}=a \vec{u}+b \vec{w} \) siendo \( \vec{u}=(1 ; 2) \) y \( \vec{w}=(1 ;-1) \) : \( \begin{array}{ll}\text { a) } \vec{v}=(2 ; 1) & \text { b) } \vec{v}=(-1 ; 7) \\ \text { En caso de que existan los escalares } a \text { y } b \text {, decimos que - el vector } \vec{v} \text { es combinación } \\ \text { lineal de los vectores } \vec{u} \mathbf{y} \vec{w}-\end{array} \)
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Para \( \vec{v} = (2, 1) \), \( a = 1, b = 1 \). Para \( \vec{v} = (-1, 7) \), \( a = 2, b = -3 \). Ambos vectores son combinaciones lineales de \( \vec{u} \) y \( \vec{w} \).
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