申論題

1. (20%) Label the following statements as being true or false. (No explana- tion is needed. Each correct answer gets 2% and each wrong answer gets 0%):

(h) If the vectors v₁, v₂, and v₃ are linearly independent, then the fol- lowing vectors

2v₁ + v₂ + 2v₃, v₂ + v₃, v₂ + 2v₃

 are also linearly independent.