MATLAB

2 Elementary row operations (30 points) As this may be your first experience with serious programming in MATLAB, we will ease into it by first writing some simple functions that perform the elementary row operations on a matrix: interchange, scaling, and replacement. In this exercise, complete the following files: function B - interchange (A, i, j) Input: a rectangular matrix A and two integers i and j. Output: the matrix resulting from swapping rows i and j, i.e. performing the row operation R, Rj. function B - scaling (A, i, s) Input: a rectangular matrix A, an integer i, and a scalar s. Output: the matrix resulting from multiplying all entries in row i by 8, i.e. per forming the row operation RisRi. function B - replacement (A, i, j, s) Input: a rectangular matrix A, two integers i and j, and a scalar s. Output: the matrix resulting from adding s times row j to row i, i.e. performing the row operation R+R + SRj. Implementation tips: In each of these functions, you should check that the input indices i and jare in range, i.e. 1 sism and 1 n. You can generate some simple matrices for testing on using the functions eye (m,n), ones(m,n), and randi(10,m,n)