Q2: For the following system: 10x1+2x2x3=273x16x2+2x3=61.5x1+x2+5x3=21.5 (a) Use the naive Gauss elimination to factor the coefficient matrix [A] into [L] and [U]. (b) Use the LU factorization result from (a) to solve the system of equations above. (c) Use the LU factorization result from (a) to solve the system for an alternative right-hand-side vector {b}T=[12186]