Define transformation A:Cn1(t)Cn1(t) : as A[f(t)]=f(n1t) where Cn1(t) denotes the set of all continuous polygonal functions defined on [0,n1] with constant slope in [i1,i],i=1,2,,n1. (1) Prove that A is a linear transformation (2) Let j(t),j=1,2,,n, be in Cn1(t) with the associated j=n,j. Determine the matrix representation of the linear transformation A with respect to this basis. Define transformation A:Cn1(t)Cn1(t) : as A[f(t)]=f(n1t) where Cn1(t) denotes the set of all continuous polygonal functions defined on [0,n1] with constant slope in [i1,i],i=1,2,,n1. (1) Prove that A is a linear transformation (2) Let j(t),j=1,2,,n, be in Cn1(t) with the associated j=n,j. Determine the matrix representation of the linear transformation A with respect to this basis