Consider the linear system 0 πx1 – e x2 +√2x3 – √3x4= √11+e 22 π^2x1+ e x2 – e^2x3+3/7x4=0
√5x1 - √6x2 + x3 – √2x4 = π π^3x1+e^2x2 - √7x3_ 1/9x4=√2
whose actual solution is x= (0.788, – 3.12, 0.167, 4.55)^T. Carry out the following computations using 4 decimal places with rounding: (1.1) Write the system as a matrix equation. (2) (1.2) Solve the system using: (a) Gaussian elimination without pivoting. (7) (b) Gaussian elimination with scaled partial pivoting. (c) Basic LU decomposition