Math  /  Algebra

Question5. Consider the sets of vectors of the following form. Determine whether the sets are subspaces of an appropriate vector space. If a set is a subspace give a basis and its dimension. (a) a(1,2,3)a(1,2,3)

Studdy Solution
The dimension of the subspace is the number of vectors in the basis. Since the basis is {(1,2,3)}\{(1,2,3)\}, the dimension is 1.
The set is a subspace of R3\mathbb{R}^3. A basis is {(1,2,3)}\{(1,2,3)\} and its dimension is 1.

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