Question: Please answer the question: 1+t 1. Let V = 2 -t t E R). Determine whether Vis a vector space by verifying Axiom ER Determ

Please answer the question:

1+t 1. Let V = 2 -t t E R). Determine whether Vis a vector space by verifying Axiom ER Determ 3+ 2t] 3, Axiom 7 and Axiom 8 if all the other axioms are satisfied. Defined vectors addition and multiplication as: (12 marks) 1+t1 1 + t2 1+ (t1 + tz) 2-t1 + 2-t2 = 2 - (t1 + tz) 3+ 2t1 13 + 2t2 3 + (2t1 + 2t2) 1+t 1 + ct c 2-t 2 -ct 13 + 2t] [3 + 2ct

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