matlab project small

The matlab question: 1. Write a function in Matlab that takes as input a 2 by 2 matrix A and return as output the approximate matrix 2-norm. Compute the approximate matrix 2-norm, by multiplying A by 100 unit vectors, x_k for k=1,2,...,100, pointed in directions (2*pi/100)*k radians. The approximate matrix 2-norm is the maximum of the 100 resultant vector norms, ||A*x_k|| where for a vector v=[c d], ||v|| = sqrt(c^2 + d^2). (Note: this is a conceptual assignment and isn't how mathematicians usually calculate the matrix 2-norm.) (a) Write out or print out your function. (b) Run the case of A = [1 2; 3 4] and write out or print out your results. (c) Run the case of A = [5 6; 7 8] and write out or print out your results