2. For a given augmented matrix of dimensions n x m, write a function in MATLAB that swaps the rows of a matrix. Verify that the function works by swapping rows 2 and 3 in the following matrix: a. 2 0 -40 6 10 85 b. write a function in MATLAB that performs the operation Row A - C Row B, where C is a constant, and replaces the original Row A with the result. The constant C should be one of the inputs to the function. Verify that the function works by performing the following operation on the matrix from part (a): Row 2- 3/2 Row 1, whose result will replace the current Row 2. write a function in MATLAB that performs pivoting on a matrix (determines the location of the largest coefficient in a section of a matrix and rearranges the rows as necessary). This function should call the function written in part (a) when necessary Verify that the function works by performing pivoting on the matrix in part (a) for the first column of the matrix. c. Note that for each of these functions, the matrix will be one of the inputs to the function, not entered in the function using the input command 2. For a given augmented matrix of dimensions n x m, write a function in MATLAB that swaps the rows of a matrix. Verify that the function works by swapping rows 2 and 3 in the following matrix: a. 2 0 -40 6 10 85 b. write a function in MATLAB that performs the operation Row A - C Row B, where C is a constant, and replaces the original Row A with the result. The constant C should be one of the inputs to the function. Verify that the function works by performing the following operation on the matrix from part (a): Row 2- 3/2 Row 1, whose result will replace the current Row 2. write a function in MATLAB that performs pivoting on a matrix (determines the location of the largest coefficient in a section of a matrix and rearranges the rows as necessary). This function should call the function written in part (a) when necessary Verify that the function works by performing pivoting on the matrix in part (a) for the first column of the matrix. c. Note that for each of these functions, the matrix will be one of the inputs to the function, not entered in the function using the input command