. Let p-norm of the matrix A : R m R n be defined by kAkp = sup x6=0 kAxkp kxkp , for 1 p . Show kAk = max 1in Xm j=1 |aij |, (maximum row norm), kAk2 = q max(AT A), (spectral norm), where max(AT A) is the largest eigenvalue of AT A