Solve the following system of linear equation using Cholesky factorization method. Show the calculation in four...

Transcribed Image Text:

Solve the following system of linear equation using Cholesky factorization method. Show the calculation in four dicimal places (4DP). 2x1 + 3x2 + 8. 3x₁ + 6x₂ + 4x3 = 20 7x3 = 36 4x1 + 7x₂ + 10x3 = 48 3x1 12x2 + 10x3 = 1 10. 12x1 + 64x2 60x3 = -8 10x160x2 + 60x3 = 10 12. 2x1 + 3x₂ + 9. 3x1 + 6x2 + = 11. 4x1 + x₂ I3 = 7 x1 + 3x₂ - 8 13. -₁₂ + 2x3 + 2x4 = -1 X3 2x3 + 4x4 = 6 4x3 = 9 7x3 = 16 4x1 + 7x2 + 10x3 = 21 3x112x2 + 10x3 = -5 121 +64x2 - 60x3 = 32 10x160x2 + 60x3 = -30 4x1 + x2 + x3 + x1 + 3x₂ 3 + 1 1 + x₂ + 2x3 x2 x₁ = 4 = 7 12 =-5 + 2x4 = 9 Solve the following system of linear equation using Cholesky factorization method. Show the calculation in four dicimal places (4DP). 2x1 + 3x2 + 8. 3x₁ + 6x₂ + 4x3 = 20 7x3 = 36 4x1 + 7x₂ + 10x3 = 48 3x1 12x2 + 10x3 = 1 10. 12x1 + 64x2 60x3 = -8 10x160x2 + 60x3 = 10 12. 2x1 + 3x₂ + 9. 3x1 + 6x2 + = 11. 4x1 + x₂ I3 = 7 x1 + 3x₂ - 8 13. -₁₂ + 2x3 + 2x4 = -1 X3 2x3 + 4x4 = 6 4x3 = 9 7x3 = 16 4x1 + 7x2 + 10x3 = 21 3x112x2 + 10x3 = -5 121 +64x2 - 60x3 = 32 10x160x2 + 60x3 = -30 4x1 + x2 + x3 + x1 + 3x₂ 3 + 1 1 + x₂ + 2x3 x2 x₁ = 4 = 7 12 =-5 + 2x4 = 9