題組內容

1. (30%) True or False. In each case, answer T if the statement is always true and F otherwise.

(e) If x₁, x₂, ..., xₖ are vectors in a vector space V and Span(x₁, x₂, ..., xₖ) = Span(x₁, x₂, ..., xₖ₋₁), then x₁, x₂, ..., xₖ are linearly dependent.