Consider the following matrix A and it's inverse A, 0 0.5 O O HO A = 0 A-1 = O (1) ON Let the "entry-wise" 3-norm of a m x n matrix B (or vector) be defined as m n 1/3 1|Bl|3,3 = (2) i=1 j=1 Note, this norm is similar to the Euclidean-norm, just replacing the 2 with a 3 in the power and the root. Provide your answers with at least 6 digits. a) By hand, calculate | | A| |3,3. b) By hand, calculate the condition number of A using the "entry-wise" 3-norm