2. Consider the matrix 1 0 0 2 0 3 0 0 2=ls 9 W B 5 0 8 10 \"a. Determine a unit lower triangular matrix M and an upper triangular matrix U such that MA = U. b. Determine aunit lower triangular matrix L and an up- per triangular matrix U such that A = LU . Show that ML =1Isothat L=M"' 11. Consider the system of equations 6x1 = 12 6x2 + 3x1 = -12 7x3 - 2x2 + 4x1 = 14 21x4 + 9x3 - 3x2 + 5x1 = -2 a. Solve for X1, X2, x3, and x4 (in order) by forward sub- stitution