Question: Create a MATLAB function that takes as inputs one square matrix A = [aij]nxn, and outputs its LU decomposition matrices. L being a lower triangular

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Create a MATLAB function that takes as inputs one square matrix A = [aij]nxn, and outputs its LU decomposition matrices. L being a lower triangular with ones along the diagonal and U an upper triangular matrix (follow the steps below). / 2. Create a MATLAB function called LU_factorisation" that: Takes a square matrix A of size n x n as an input, and Provides outputs the two matrices Land U 3. Within LU_factorisation, write an if statement to ensure that the input matrix is always square of size n. Also initialise the two matrices Land U as appropriate. 4. Use the expressions in 1., in a double for loops within LU_factorisation, to find the entries of the two matrices L and U
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