1 In the previous problem set, problem 6a) asked to solve a system of linear equations using Gauss elimination. Suppose A is the matrix of the system: A=2611124010 a) Write this Gauss climination in terms of the product of elementary matrices. b) Write the LU decomposition of A and explain how you determined L. c) Use the row approach to multiplication to write A as a product of L, a diagonal matrix D whose elements in the diagonal are the pivots of Gauss elimination and an upper triangular matrix U with 1 in the diagonal: A=LDU. 2. Let A=LU with L=110012001,U=100310011 Solve Ax=b,b=[124]T, using two systems of linear equations with triangular matrices. 3. Consider again A=2611124010 a) Explain how to reduce A to a diagonal matrix D using only products of elementary matrices. Show those elementary matrices. b) What are the diagonal components of D ? c) Explain how to determine A1 using elementary and diagonal matrices