Solve the following system of equations using LU factorization with partial pivoting: 2x1-6x2-X3 -38 -3x1-x2+ 7x3 =-34 -8x1 + x2-2x3 =-40 Round the final answers to five decimal places.) University of Windsor Faculty of Engineering Please provide a detailed solution including.m files, substiutions used, values for the matrices & unknowns. Note that pivoting of matrix [A] can be represented as follows: [PI[A] [LI[U] where P is the permutation matrix. Hint: For [Alfx) b, [Pl[A]x) [PlKb for the permutation matrix, which is required for partial pivoting