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Determine which sets in Exercises $1-8$ are bases for $\mathbb{R}^{3}$ . Of the sets that are not bases, determine which ones are linearly independent and which ones span $\mathbb{R}^{3}$ . Justify your answers.$$\left[\begin{array}{r}{2} \\ {-2} \\ {1}\end{array}\right],\left[\begin{array}{r}{1} \\ {-3} \\ {2}\end{array}\right],\left[\begin{array}{r}{-7} \\ {5} \\ {4}\end{array}\right]$$

its columns form a basis for $R^{3}$

Calculus 3

Chapter 4

Vector Spaces

Section 3

Linearly Independent Sets; Bases

Vectors

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