Exercise 9

Extracted basis and Cartesian equation

Theory used: Extracting a basis The method with row reduction From parametric to Cartesian form

Let $W = ⟨(1, 1, 2), (2, 0, 1), (0, 2, 3), (3, 1, 3)⟩ \subseteq R^{3}$ . Extract a basis of $W$ from the given generators, and find $dim W$ and a Cartesian equation of $W$ .

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