Show that the following identities hold, A = AJA AB = (AT B) 1 (AT B) A+B = (AT A) I (BIB) A = AJA A+B =(AIB) I( A LB) AB =(AJA) I(B LB) where the two arrow-up and arrow-down symbols represent the fundamental NAND and NOR operators, AT B = AB = A +B AIBA+ B = AB