Question: Consider the set S of points such that x 1 + 2x 2 + 3x 3 = 0, 3x 1 + 2x 2 + x

Consider the set S of points such that 

x1 + 2x2 + 3x3 = 0, 3x1 + 2x2 + x3 = 0.

Show that S is a subspace. Determine its dimension, and find a basis for it.

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