Problem 3 - Solving linear equations 3.1) Given the equations: 10x+2yz=273x6y+2z=61.5xy+5z=21.5 3.1a) Solve by naive Gauss elimination. Show all steps of the computation. 3.1b) Verify your answers by substituting it to the original equations. 3.2) Use naive Gauss elimination to decompose the system into [L] and [U] matrices. 8x+4yz=112x+5y+z=42xy+6z=7 3.2a) Verifiy that the product [L][U] will yield the original matrix, [A]. 3.2b) Use LU decomposition to solve the system. Show all the steps in the computation