1. Determine whether each of the given points below is a solution of the linear systemx1 + 6x2 + 2x3 – 5x4 − 2x52x38x4- X5-43X5 = 7.==(a) (0,0,5,0,7)(b) (1,1,1,1,1)How many solutions exist for this system? Justify your response.(c) (-6,1,5,0,7)

Answered: Image /qna-images/answer/a8c31053-b86a-4328-9471-39b70abe1558.jpg

Answered: 1. Determine whether each of the given…

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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Consider the three systems of linear equations: 4x₁ + 6x2 + 2x3 + 8x4 6x₁ + 9x2 + 16x4 2x1 + 3x2 - 2x3 + 7x4 Select one: O a. none of the others b. (A) O c. (A) and (B) are equivalent (A) and (C) are equivalent d. (B) and (C) are equivalent e. (A), (B) and (C) are equivalent = 2 4 2 = = 4x₁ + 6x2 + 2x3 + 8x4 (B) 2x₁ + 3x2 + 4x3 + x4 2x1 + 3x2 - 2x3 + 7x4 2 = 0 2 = || || = (C) 2x1 + 3x2 + x3 + 4x4 3x3 - 3x4 -3x3 + 3x4 = = = 1 -1 1
5) Solve the linear system Xị + 2x2 + 2.x1 + 3x2 + 5x3 + + 5x2 X3 + 2.x4 2 X4 3 8x3 + 11x4 || || |
How can x-5= x + 6 be set up as a system of equations? O 2y + x = -10 3y + x = 18 O2y + 2x = -10 3y + 3x = 18 O2y-x= -10 3y - x = 18 O2y-2x = -10 3y - 3x = 18
Solve for the system of equation... (Given problem in image)
The nonlinear system has six real solutions. 4x0 x₁ + x₂ = X0X3 xo - 2x₁ + 3x₂ = x₂x3 -xo + 3x₁ - 2x₂ = X₁ X3 x² + x² + x² = 1 (a) Show that if (x0, X₁, X2, X3)T is a solution, then (-X0, −X₁, −X₂, X3)¹ is also a solution.
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The system of linear equations: x1 + x₂ + x3 2x1x2x3 is: Select one: a. = = 6 3 a 2 x 3 inconsistent system O b. a 3 x 2 system with solution {(3,3 - a, a), Va = R} O c. a 3 x 2 system with solution {(3, 2, 1)} O d. a 2 x 3 system with solution {(3,3 a, a), Va = R} O e. a3 x 2 inconsistent system

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1. Determine whether each of the given points below is a solution of the linear system x1 + 6x2 + 2x3 - 5x4 - 2x5 2x38x4 - = −4 X5 = 3 X5 = 7. (a) (0,0,5,0,7) (b) (1,1,1,1,1) How many solutions exist for this system? Justify your response. (c) (-6,1,5,0,7)