Q38Comprehension1 Mark3 Dec 2023PassageBased on the above data, answer the given subquestions. Consider a vector space VVV with bases β={v1,v2}\beta=\{v_1,v_2\}β={v1,v2} and γ={v1+v2,v1−v2}\gamma=\{v_1+v_2,v_1-v_2\}γ={v1+v2,v1−v2}. Let T:V→VT:V\to VT:V→V satisfy T(v1)=v1+2v2T(v_1)=v_1+2v_2T(v1)=v1+2v2 and T(v2)=2v1−v2T(v_2)=2v_1-v_2T(v2)=2v1−v2.Is TTT an isomorphism?AYesBNo
