Consider the linear transformation o: P4 → P4 defined o(a3t³ +a₂t² +a₁t + t₁)=(a3 +a₂ +a₁)t³ +(a3 −a₂ +a₁)t² +(a3 +a₂ −a₁)t+(a3 +2a₂ +a₁). a. Find a basis for ker(o). Is o a monomorphism? b. Find a basis for Im(o). Is o an epimorphism?