QuestionFind a subset of the following set of vectors that forms a basis for the span(S). $$(1,0,-2,3),(0,1,2,3),(2,-2,-8,0),(2,-1,10,3),(3,-1,-6,9)$$

Studdy Solution
Select the corresponding vectors that form a basis. The vectors corresponding to the pivot rows are:
$(1,0,-2,3)$, $(0,1,2,3)$, and $(2,-2,-8,0)$.
These vectors form a basis for the span of the original set.
The subset of vectors that forms a basis for the span(S) is $\{(1,0,-2,3), (0,1,2,3), (2,-2,-8,0)\}$.