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Exercise 3 Write a Matlab/Octave program matrix.times.vector.m that computes the prod uct between an n-dimensional square matrix A and an n-dimensional (column) vector z. The components of the (column) vector y- Ax are defined AiF5 j-1 yi i=1, , n The function should be of the following form function [y] -matrix-times-vector(A,X) Input: A: n n matrix x: n x 1 vector Output: y: n 1 vector You are not allowed to use the Matlab expression A*x within your code. Hint: You can use two nested for loops to compute the vector y (one loop computes the sum (3) while the other one controls the index i in (3)). The size of the matrix A can be determined by using the Matlab command size(A) (see the Matlab/Octave documentation). You can debug your function by comparing the output with the Matlab expression A*x, for simple matrices A and vectors x