3-solve the following system of linear equations using Gaussian elimination approach (backward substitution). 1x₁ + x₂ + 2x₂ =3] 2x, +3x₂ + x₁ = 1 Ax=b, A= 2 3 3x₁x₂x₁ = -1) 3-1 [112]

Elementary Linear Algebra (MindTap Course List)
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Chapter3: Determinants
Section3.CM: Cumulative Review
Problem 7CM: Solve the homogeneous linear system corresponding to the coefficient matrix. [121200242412]
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3-solve the following system of linear equations using Gaussian elimination approach (backward
substitution).
1x₁ + x₂ + 2x₂ = 31
1 1 2
2x, +3x₂ + x₁ = 1 Ax=b, A=2 3 1. b 1
3x₁-x₂-x₂ = -1)
3-1-1
-1
Write the corresponding LU decomposition.
Write the determinant of coefficient matrix based on LU results.
Give the inverse of A using the L¹, U
O
Transcribed Image Text:3-solve the following system of linear equations using Gaussian elimination approach (backward substitution). 1x₁ + x₂ + 2x₂ = 31 1 1 2 2x, +3x₂ + x₁ = 1 Ax=b, A=2 3 1. b 1 3x₁-x₂-x₂ = -1) 3-1-1 -1 Write the corresponding LU decomposition. Write the determinant of coefficient matrix based on LU results. Give the inverse of A using the L¹, U O
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