2) Decide if the following statements are true or false. Provide arguments or a couterexample to...

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2) Decide if the following statements are true or false. Provide arguments or a couterexample to support your answers: The set of matrices A with det(A)-1 is a subspace in the vector space space M,.2(IR) of 2x2 matrice (Ans. No because it does not contains the zero matrix). ii. i. If S=span(u,Uz.u), then dim(S) = n. (Ans: True only if the vectors are linearly independent.) 3) Let V be the vector space of all polynomials of degree s3.Determine whether or not the set S = {t', +t,'+t+1} spans V? 2) Decide if the following statements are true or false. Provide arguments or a couterexample to support your answers: The set of matrices A with det(A)-1 is a subspace in the vector space space M,.2(IR) of 2x2 matrice (Ans. No because it does not contains the zero matrix). ii. i. If S=span(u,Uz.u), then dim(S) = n. (Ans: True only if the vectors are linearly independent.) 3) Let V be the vector space of all polynomials of degree s3.Determine whether or not the set S = {t', +t,'+t+1} spans V?