%% Matlab HW 5: Solve 42, 43, and 45 in Matlab (Section 2.3)
%
% New commands:  
%        cond(A) is the condition number for matrix A.
%        inv(A) is the inverse of matrix A.
%        norm(x-y) is the magnitude (or distance) between vectors x and y.
%        norm(A-B,'fro') is the distance between matrices A and B 
%                        using the Frobenius norm.
%        hilb(n) is an n times n Hilbert matrix (matrix A in #44 is: hilb(5))


%% 42:  Let A be the matrix below.
%       - Find the condition number
%       - Construct a random vector x in R^4 and compute Ax=b.
%       - Use a matrix program to find the solution x1 to Ax=b.
%       - How many digits agree between x and x1?
%       - How close is Ax1 to b?


%% 43:

%% 45: