(E-₂) = given the linear transformation T: R³ → R² where T 7 (EFD)-6) and + (ED-C¹₂) a. If it is known that {(1,1,1), (-1,-1,0), (0,1,-1)} is the basis of R³, find an explicit formula of T (i.e. T(x₁, x₂, x3), for (x₁, x2, x3) any vector in R³) b. Use the explicit formula of T to specify T T (³D) c. Find the basis of Ker(T) and basis of R(T) and their dimensions.

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