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 linearly independent vectors in R4, then {V1, V2, V3} is also linearly independent. [Hint: Think about X₁V₁ + X₂V2 + X3V3 +0-V4 = 0.]

(T/F-C) If V,..., V4 are linearly independent vectors in R4, then {V1, V2, V3} is also linearly independent. [Hint: Think about XV + XV2 + X3V3 +0-V4 = 0.]