[Solution Library] Determine whether the following vectors span R^3. \overrightarrowv_1=(2,2,2), \overrightarrowv_2=(0,0,3), \overrightarrowv_3=(0,1,1) \overrightarrowv_1=(3,1,4),


Question: Determine whether the following vectors span \(\mathbb{R}^{3}\).

  1. \(\overrightarrow{v_{1}}=(2,2,2), \overrightarrow{v_{2}}=(0,0,3), \overrightarrow{v_{3}}=(0,1,1)\)
  2. \(\overrightarrow{v_{1}}=(3,1,4), \overrightarrow{v_{2}}=(2,-3,5), \overrightarrow{v_{3}}=(5,-2,9), \overrightarrow{v_{4}}=(1,4,-1)\)

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