Each statement is either true (in all cases) or false (for at least one example). If false,

Question:

Each statement is either true (in all cases) or false (for at least one example). If false, construct a specific example to show that the statement is not always true. Such an example is called a counterexample to the statement. If a statement is true, give a justification.

(T/F-C) If V₁,..., V₄ are in R⁴ and {V₁, V₂, V₃} is linearly
dependent, then {V₁, V₂, V₃, V₄} is also linearly dependent.