Question: please write any algorithms to be used in Matlab 4. Write out an algorithm for one the following methods. Include Purpose, INPUT, OUTPUT and the

please write any algorithms to be used in Matlab

4. Write out an algorithm for one the following methods. Include Purpose, INPUT, OUTPUT and the STEPS needed. (a) bisection (b) inverses interpolation (c) secant method (d) newton's method (e) newton's finite difference method (f) Brent's Method (8) Muller's method 5. Consider the following matrix 1 2 24 0 01-1 (a) Find the permutation matrix P so that PA can be factored into the product LU with maximal pivoting. Compute the factorization PA = LU (b) Use the above factorization to solve the linear system Ax = b, where b 4. Write out an algorithm for one the following methods. Include Purpose, INPUT, OUTPUT and the STEPS needed. (a) bisection (b) inverses interpolation (c) secant method (d) newton's method (e) newton's finite difference method (f) Brent's Method (8) Muller's method 5. Consider the following matrix 1 2 24 0 01-1 (a) Find the permutation matrix P so that PA can be factored into the product LU with maximal pivoting. Compute the factorization PA = LU (b) Use the above factorization to solve the linear system Ax = b, where b

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