Mccarthy Dickson
10/27/2024 · Middle School
determina si \( b \) es una combinación lineal de \( a 1, a 2 \) y \( a 3 \). \( a 1=(4,4,-1), a 2=(2,1,-1), a 3=(1,0,2), b=(1,-1,1) \)
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Para determinar si \( b \) es una combinación lineal de \( a_1, a_2 \) y \( a_3 \), resolvemos el sistema de ecuaciones resultante. Si se encuentra una solución, \( b \) es una combinación lineal. En este caso, se encontró la solución \( x_1 = -\frac{1}{4}, x_2 = 0, x_3 = 2 \), por lo que \( b \) es una combinación lineal de \( a_1, a_2 \) y \( a_3 \).
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