3. Use Gaussian elimination to find the values of p and q for which the following set of equations has: (i) (ii) (iii) an infinite number of solutions. (Give the solution in terms of λ.) no solution. a unique solution. (Give the solution in terms of p and q.) x + 2y + z = 1 2x 8y+pz-6 3x-4y+2z=q

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Question
3.
Use Gaussian elimination to find the values of p and q for which the following
set of equations has:
(i)
(ii)
(iii)
an infinite number of solutions. (Give the solution in terms of λ.)
no solution.
a unique solution. (Give the solution in terms of p and q.)
x + 2y + z = 1
2x 8y+pz-6
3x-4y+2z=q
Transcribed Image Text:3. Use Gaussian elimination to find the values of p and q for which the following set of equations has: (i) (ii) (iii) an infinite number of solutions. (Give the solution in terms of λ.) no solution. a unique solution. (Give the solution in terms of p and q.) x + 2y + z = 1 2x 8y+pz-6 3x-4y+2z=q
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