What is the dimension of the subspace spanned by the zero vector alone?
Show answer
Zero
By definition, the empty set is the basis for the zero subspace. The dimension is zero because the zero vector is always linearly dependent.
Zero
By definition, the empty set is the basis for the zero subspace. The dimension is zero because the zero vector is always linearly dependent.
Trivia Forge uses spaced repetition so facts stick. Free, no signup needed.
Turn on Linear Algebra practice →