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9. x₁ - 5x₂ = b₁ 3x₁ + 2x₂ = b₂ i. b₁ = 1, b₂ = 4

9. x₁ - 5x₂ = b₁ 3x₁ + 2x₂ = b₂ i. b₁ = 1, b₂ = 4

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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(Ff1.6) question 9 on paper please
(2) 3b3 - b₂. he system has the unique solution x3 = 5b₁-2b₂-b3 (3) What does the result in Example 4 tell you about the coefficient matrix of the system? 8. ix 7. 3x₁ + 5x₂ = b₁ X₁ + 2x₂ = b₂ x₁ + 2x₂ + 3x3 = b₁ 2x₁ + 5x₂ + 5x3 = b₂ 3x₁ + 5x₂ + 8x3 = b3 In Exercises 9-12, solve the linear systems. Using the given values for the b's solve the systems together by reducing an appropriate aug- mented matrix to reduced row echelon form. 9. X₁ - 5x₂ = b₁ 3x₁ + 2x₂ = b₂ i. b₁ = 1, b₂ = 4 ii. b₁ = -2, b₂ = 5 x3 = b₁ X₁ + 9x2 - 2x3 = b₂ 6x₁ + 4x2 - 8x3 = b3 i. b₁ = 0, b₂ = 1, b3 = 0 ii. b₁ = -3, b₂ = 4, b₂ = -5 10. -x₁ + 4x₂ +
Transcribed Image Text:(2) 3b3 - b₂. he system has the unique solution x3 = 5b₁-2b₂-b3 (3) What does the result in Example 4 tell you about the coefficient matrix of the system? 8. ix 7. 3x₁ + 5x₂ = b₁ X₁ + 2x₂ = b₂ x₁ + 2x₂ + 3x3 = b₁ 2x₁ + 5x₂ + 5x3 = b₂ 3x₁ + 5x₂ + 8x3 = b3 In Exercises 9-12, solve the linear systems. Using the given values for the b's solve the systems together by reducing an appropriate aug- mented matrix to reduced row echelon form. 9. X₁ - 5x₂ = b₁ 3x₁ + 2x₂ = b₂ i. b₁ = 1, b₂ = 4 ii. b₁ = -2, b₂ = 5 x3 = b₁ X₁ + 9x2 - 2x3 = b₂ 6x₁ + 4x2 - 8x3 = b3 i. b₁ = 0, b₂ = 1, b3 = 0 ii. b₁ = -3, b₂ = 4, b₂ = -5 10. -x₁ + 4x₂ +
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