Let V be an n- dimensional vector space over the field F, and Let B ( Beta)= (alpha 1?..alpha n)be an ordered basis for V. a) There is a unique linear operator T on V such that T alpha 1=alpha J+1, J=1??.n-1, T alpha n=0. b) Let S be any linear operator on V such that S^n =0 but S ^n-1 is not equal to 0. Prove that there is an ordered basis B? ( beta prime) for V such that matrix of S in the ordered basis B? ( beta prime) is the matrix A of part (a). anyone any idea!!!!any idea would be appreciated, due tommorrow..am panicking!!! Thankyou, jyotsna