Q.1 Solve the following system of equations using Cholesky decomposition method. 4x₁ + x₂ - X3 = 7, X₁ + 3x₂ - X3 = 8, -X1X₂ + 5x3 + 2x = -4, 2x3 + 4x₁ = 6.

Advanced Engineering Mathematics
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Chapter2: Second-order Linear Odes
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Q.1 Solve the following system of equations using Cholesky decomposition method.
4X₁ + X₂ X3
= 7,
X₁ + 3x₂ - X3
= 8,
-X₁X₂ + 5x3 + 2xy = -4,
2x3 + 4x4 = 6.
Transcribed Image Text:Q.1 Solve the following system of equations using Cholesky decomposition method. 4X₁ + X₂ X3 = 7, X₁ + 3x₂ - X3 = 8, -X₁X₂ + 5x3 + 2xy = -4, 2x3 + 4x4 = 6.
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