Part 1 Solve the following system of linear equations: + y 3z -7 3x + 4y 14z -27 5x + 6y + 21z -42 Which one of the following statements best describes your solution: A. There is no solution. B. There is a unique solution. C. There are 3 solutions. D. There are infinitely many solutions with one arbitrary parameter. E. There are infinitely many solutions with two arbitrary parameters. F. There are infinitely many solutions with three arbitrary parameters. Statement:B - Part 2 Enter your solution below. If a variable is an arbitrary parameter in your solution, then set it equal to itself, e.g., w = w. X = y = = 2 I| |||| + + -
Part 1 Solve the following system of linear equations: + y 3z -7 3x + 4y 14z -27 5x + 6y + 21z -42 Which one of the following statements best describes your solution: A. There is no solution. B. There is a unique solution. C. There are 3 solutions. D. There are infinitely many solutions with one arbitrary parameter. E. There are infinitely many solutions with two arbitrary parameters. F. There are infinitely many solutions with three arbitrary parameters. Statement:B - Part 2 Enter your solution below. If a variable is an arbitrary parameter in your solution, then set it equal to itself, e.g., w = w. X = y = = 2 I| |||| + + -
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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For part 1 I guessed that the answer was statement B (unique solution). Please explain how to get the answers for part 1 and 2.
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Step 1
System of linear equation:
A system of linear equation has a unique solution if and only if determinant of matrix of system of linear equation is non-zero.
The main aim is to choose the option for that the solution of given linear system of equation. and then we have to find the solution of the system of linear equation.
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