Question: please provide comments and provide MATLAB code, please make sure that it is correct please (i.e inv(A) =output of function) Complete the following problems involving

please provide comments and provide MATLAB code, please make sure that it is correct please (i.e inv(A) =output of function)

Complete the following problems involving LU factorization to find the inverse of a matrix: (a) Write a function that finds the inverse of a square matrix column-by-column using LU factorization (see example 1 in Lecture 06). You may use the built-in lu function with the permutation matrix (se0 section 3 in Lecture 05 ) output option. (b) Test your function for the matrix A=1260745401.504221607200.5424172.5514 Compare your solution componentwise with the result produced by inv (A). (c) Compute the matrix 1, , and Frobenius norms. (d) Compute the condition number of A for the matrix 1, , and Frobenius norms

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