1. Consider the matrix A = (a) What is the definition of the condition number of an arbitrary matrix B? (b) Find the condition number of A with respect to the || . | norm (this norm is the maximum row-sum of the absolute value of the entries). (c) Find the condition number of A with respect to the || . | 2 norm. (d) Suppose I wish to solve Ax = b, and the relative error in A (which is defined as ||All/| |All) is 0.1, and the relative error in b (similarly defined with b in place of A) is 0.1. Use Theorem 4.25 to find an upper bound on the relative error of x