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3 3 b. 0 -9 000 -1 -2. In each part of Exercises 7-8, find the augmented matrix for the lin- ear system. 7. a. -2x₁ = 6 b. 6x₁ - x₂ + 3x3 = 4 5x₂ - x₂ = 1 3x1 = 8 9x₁ = -3 C. - 3x4 + x₂ = 0 2x2 -3x₁ - x₂ + x3 6x₁ + 2x2x3 + 2x4 - 3x5 = 6 b. 2x₁ + 2x3 = 1 3x²₁x₂ + 4x3 = 7 1. ошос O O AL 8. a. 3x₁2x₂ = -1 4x. + 3 -

3 3 b. 0 -9 000 -1 -2. In each part of Exercises 7-8, find the augmented matrix for the lin- ear system. 7. a. -2x₁ = 6 b. 6x₁ - x₂ + 3x3 = 4 5x₂ - x₂ = 1 3x1 = 8 9x₁ = -3 C. - 3x4 + x₂ = 0 2x2 -3x₁ - x₂ + x3 6x₁ + 2x2x3 + 2x4 - 3x5 = 6 b. 2x₁ + 2x3 = 1 3x²₁x₂ + 4x3 = 7 1. ошос O O AL 8. a. 3x₁2x₂ = -1 4x. + 3 -

Algebra for College Students
Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter12: Algebra Of Matrices
Section12.3: M X N Matrices
Problem 49PS
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Questions7 and 15 please on paper.
3 3 b. -3 3 0 -2 -9 000 -1 -2. In each part of Exercises 7-8, find the augmented matrix for the lin- ear system. 7. a. -2x₁ = 6 b. 6x₁x₂ + 3x3 = 4 5x₂ - x₂ = 1 3x1 = 8 9x₁ = -3 C. - 3x₁ + x₂ = 0 2x2 -3x₁ - x₂ + x3 x2 6x₁ + 2x₂x3 + 2x4 - 3x₂ = 6 b. 2x₁ + 2x₂ = 1 3x₁ - x₂ + 4x3 = 7 8. a. 3x₁2x₂ = -1 4x₁ + 5x₂ = 3 -
Transcribed Image Text:3 3 b. -3 3 0 -2 -9 000 -1 -2. In each part of Exercises 7-8, find the augmented matrix for the lin- ear system. 7. a. -2x₁ = 6 b. 6x₁x₂ + 3x3 = 4 5x₂ - x₂ = 1 3x1 = 8 9x₁ = -3 C. - 3x₁ + x₂ = 0 2x2 -3x₁ - x₂ + x3 x2 6x₁ + 2x₂x3 + 2x4 - 3x₂ = 6 b. 2x₁ + 2x₂ = 1 3x₁ - x₂ + 4x3 = 7 8. a. 3x₁2x₂ = -1 4x₁ + 5x₂ = 3 -
d. 3v - 8w + 2xy + 4z = 0 b. x₂ + 3x₂ - 12x3 = 3 c. 4x₁ + 2x₂ + 3x3 + x4 = 20 d. v+w+x - 5y +7z=0 In Exercises 15-16, each linear system has infinitely many solutions. Use parametric equations to describe its solution set. 15. a. 2x - 3y = 1 6x9y = 3 - b. x₁ + 3x₂x3 = -4 3x₁9x₂ 3x3 = -12 + -X₁ - 3x₂ + x3 = 4 b. 2xy + 2z = -4 14. a. x+10y = 2 16. a. 6x₁ + 2x₂ = -8
Transcribed Image Text:d. 3v - 8w + 2xy + 4z = 0 b. x₂ + 3x₂ - 12x3 = 3 c. 4x₁ + 2x₂ + 3x3 + x4 = 20 d. v+w+x - 5y +7z=0 In Exercises 15-16, each linear system has infinitely many solutions. Use parametric equations to describe its solution set. 15. a. 2x - 3y = 1 6x9y = 3 - b. x₁ + 3x₂x3 = -4 3x₁9x₂ 3x3 = -12 + -X₁ - 3x₂ + x3 = 4 b. 2xy + 2z = -4 14. a. x+10y = 2 16. a. 6x₁ + 2x₂ = -8
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