Consider the sets of vectors of the following form. Prove that they are subspaces of R3

Chapter 1, Problem 3

(choose chapter or problem)

Consider the sets of vectors of the following form. Prove that they are subspaces of R3. Find a basis for each subspace and give its dimension. (a) (a, a, b) (c) (a, 2a, 4a) (b) (a, 2a, b) (d) (a, -a, 0)

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