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6. In this problem you will write two Matlab functions to compute the matrix-vector product of an n n matrix A and a length-n column-vector

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6. In this problem you will write two Matlab functions to compute the matrix-vector product of an n n matrix A and a length-n column-vector x. In the first application homework, we'll use these functions to investigate how the order in which data is accessed in a matrix computation can dramatically affect the performance of the algorithm. Note that you can easily check the result of your functions by computing directly the product A*x and comparing the results. For this problem you should hand in a print-out of your functions. (a) Write a function called axrow that takes as arguments an integer dimension n, an n n matrix A, and a length-n vector x and returns the result of computing the matrix-vector product b Ax by the row-vector rule. Use vector operations only (that is, don't access elements of A or x individually). The value b returned by your function should be a column vector (b) Write a function called axcol that takes as argum ents an integer dimension n, an n n matrix A, and a length-n vector x and returns the result of computing the matrix-vector product b-Ax by taking a linear combination of the columns of A. Use vector operations wherever possible. The value b returned by your function should be a column vector

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