I. Consider A Rnxn with elements aij defined as follows: 1 if i 0 otherwise (a) Compute the LU factorization of A using Gaussian elimination without pivoting. Write the elements of L and U in a notation similar to above; i.e., do not write out the matrices L and U in full (b) What is the largest order (row/column dimension) of matrix in this form that can be factored in Rio(16,2) before overflow occurs? (e) Is the factorization you identified in (b) stable? Explain I. Consider A Rnxn with elements aij defined as follows: 1 if i 0 otherwise (a) Compute the LU factorization of A using Gaussian elimination without pivoting. Write the elements of L and U in a notation similar to above; i.e., do not write out the matrices L and U in full (b) What is the largest order (row/column dimension) of matrix in this form that can be factored in Rio(16,2) before overflow occurs? (e) Is the factorization you identified in (b) stable? Explain