The system of linear equations:2x1 + 5x2 – 3x3-36x1 – 2x2 – x3= 3a. is a 3 x 2 underdetermined consistent systemb. is a 2 x 3 overdetermined consistent systemc. None of the othersd. is a 2 x 6 overdetermined inconsistent systemO e. is a a 3 x 2 underdetermined inconsistent system

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Answered: The system of linear equations: 2x1 +…

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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Determine the values of a for which the following system of linear equations has no solutions, a unique solution, or infinitely many solutions. You can select 'always', 'never', 'a = ', or 'a #', then specify a value or comma- separated list of values. ax7+3x2+3x3 = 0 x7+3x2+6x3 = 0 3x1+9x2+8x3 = 0 No Solutions: Unique Solution: Infinitely Many Solutions: Official Time: 21:16:40 Always Always Always Always Never When a = When a # SUBMIT AND MARK SAVE AND CLOSE
Need only a handwritten solution only (not a typed one).
9. Find the solution set of the system of linear equations 3x1+x25x3 = x4 = 0 2x1 + x2 3x3 - 2x4 = 0 X1 + X2 X3 - 3x4 = 0
Find the set of solutions for the linear system -3x1 6x2 3x3 9. 672 8x3 -8 Use x3, x2, etc. for the free variables if necessary. Indicate if a variable is free by writing the same variable in the space (so if x1 is free, write x1 =x1). 2x2 - x3 - 3 4/3x3 - 4/3 x3 = x3
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
Determine the values of a for which the following system of linear equations has no solutions, a unique solution, or infinitely many solutions. You can select 'always', 'never', 'a = ', or 'a #', then specify a value or comma-separated list of values. 3x7+6x2+ax3 = 3 2x1+9x2x3 = 17 2x1+7x2-3x3 = 12 No Solutions: Unique Solution: Infinitely Many Solutions: Always Always Always
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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The system of linear equations: 2x1 + 5x2 – 3x3 -3 6x1 – 2x2 – x3 = 3 a. is a 3 x 2 underdetermined consistent system b. is a 2 x 3 overdetermined consistent system c. None of the others d. is a 2 x 6 overdetermined inconsistent system e. is a a 3 x 2 underdetermined inconsistent system