Sir i am stuck for this question

2 5 with the property that T[b1) = b1 + 2b2 and T(b2) = 2b1 + b2. i. (5 points) Find the matrix [T]5 of T with respect to the basis 3 = {b1, b2}. ii. (5 points) Let A denote the standard matrix of T. That is, A = [T]g where 5 = { [1] , [0] } is the standard basis for R2. Find a matrix P such that (a) Let bl = [ 3 ] ,bg = [2] . Suppose that T : 1R2 ) R2 is a linear transformation 0 1 A = P[T]5P'1_ iii. (5 points) Find the eigenvalues of the matrix A. F A 'I l'_ -'I