2. Use Gauss or Gauss-Jordan elimination to find for what values of k the following systems of equations have (i) no solution, (i) infinitely many solutions, (ii) a unique solution. Write down the solutions, when they exist. (a) x+y +2 z = 1 x + 3 y + k z = -1 +k z =k+ 2 (b) X + 2y + 2z = 0 kx+3 ky + 5z = 0

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
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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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2. Use Gauss or Gauss-Jordan elimination to find for what values of k
the following systems of equations have (i) no solution, (i) infinitely
many solutions, (ii) a unique solution. Write down the solutions,
when they exist.
(a)
x+y +2 z = 1
x + 3 y +k z = -1
+k z =k+ 2
(b)
X +2y + 2z – 0
kx+3 ky + 5z = 0
Transcribed Image Text:2. Use Gauss or Gauss-Jordan elimination to find for what values of k the following systems of equations have (i) no solution, (i) infinitely many solutions, (ii) a unique solution. Write down the solutions, when they exist. (a) x+y +2 z = 1 x + 3 y +k z = -1 +k z =k+ 2 (b) X +2y + 2z – 0 kx+3 ky + 5z = 0
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