Consider the following set of vectors in P₂. S = {−x + x², −4 + x, −4 + x²} Solve for c₁, c₂, and c₃ in the following equation. If a nontrivial solution exists, state it or state the general solution in terms of the parameter t.
(c₁, c₂, c₃) = (0, 0, 0}.)
c₁(-x + x²) + c2(-4 + x) + c₃(-4 + x²) = 0 + 0x + 0x²
(c₁, C₂, C₃)=