Examgle for 6.2: Let L1R3-)P3 be given by: a I. (Is r: E] Find LED b] Find a basis for the kernel K and state dim K )=at3+{bc)t+(a+c} c] Find a basis for the range of L and state dim range L. d] Determine if L is one-to-one. e} Determine if L is onto. f] Verify dim K+ dim range L= dim U