Question: Question 1: 15 marks Consider the linear system 0.05331 + {1.07352 + U.6$3 + .0534 = 0.23 0.07121 + U.1{]:r:2 + 0.08333 + (1.07594 =

Question 1: 15 marks Consider the linear system 0.05331 + {1.07352 + U.6$3 + \".0534 = 0.23 0.07121 + U.1{]:r:2 + 0.08333 + (1.07594 = 0.32 0.06331 + {1.08352 + 0.10173 + \".0934 = 0.33 0.0533 + {1.07522 + 01193;; + [11034 = 0.31 (1.1) Write the system in matrix equation form. (1 .2) Solve the the system using four decimal arithmetic with truncation {not rounding) by: {a} Gaussian elimination without pivoting. {b} Gaussian elimination with scaled partial pivoting. (c) LU decomposition. (1 .3) Compute the total number of arithmetic operations in (1 . 1 )(a). (2) (11) [4] [4] [3] (2)

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