Given the tridiagonal matrix [1.26 0.6174 0 0 0.04 1.2096 0.9758 0 0 0.25 2.195 1.9303...

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Given the tridiagonal matrix [1.26 0.6174 0 0 0.04 1.2096 0.9758 0 0 0.25 2.195 1.9303 0.38 1.7686 0 0 work out the values 1,,i = 1,...,4 and u,,i = 1,...,3 in the LU factorisation A with L = 11 0.04 0 0 b= 0 12 5.425022 7.896764 (a) 1₁ (b) ₁ (C) 2₁ = 0 0 = 0 13 Use the LU factorisation to solve the system Az = b with 1.268316 -5.56416 0 |--| 0 0.25 0 0.38 14 for x₁, i = 1,...,4 Use at least 6 decimal places for your calculations and specify your final results to 2 decimal places. 1 ul 0 0 0 1 u2 0 00 1 u3 000 1 , U₂ = , 2₂ = , 13 , U3 = 1 I3 = , 14 #4= Given the tridiagonal matrix [1.26 0.6174 0 0 0.04 1.2096 0.9758 0 0 0.25 2.195 1.9303 0.38 1.7686 0 0 work out the values 1,,i = 1,...,4 and u,,i = 1,...,3 in the LU factorisation A with L = 11 0.04 0 0 b= 0 12 5.425022 7.896764 (a) 1₁ (b) ₁ (C) 2₁ = 0 0 = 0 13 Use the LU factorisation to solve the system Az = b with 1.268316 -5.56416 0 |--| 0 0.25 0 0.38 14 for x₁, i = 1,...,4 Use at least 6 decimal places for your calculations and specify your final results to 2 decimal places. 1 ul 0 0 0 1 u2 0 00 1 u3 000 1 , U₂ = , 2₂ = , 13 , U3 = 1 I3 = , 14 #4=

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