Math, Linear Algebra, Education, Mathematics, Mathematics Education.
what vectors I give you. It doesn’t matter if the vectors are dependent or independent, the trivial solution will always work, so in this sense the trivial solution doesn’t help us. However, the two other solutions we’ve used before, 4(v₁)+4(v₂)=2(w) and 2(v₁)+2(v₂)=w, are non-trivial solutions,