Below is a system of equations: x+y+z =1 x- 2y+z = 4 2x- y+d = e (a) For what values of d and e will the system of equations have (i) no solution (ii) infinitely many solutions (iii) a unique solution. (b) By substituting d = 3 and e = 2 into the upper triangle form obtained in (a) and continue using the Gaussian elimination, solve this system of equations.

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Below is a system of equations:
x+y+z=1
x-2y+z = 4
2.x - y+d = e
(a) For what values of d and e will the system of equations have
(i) no solution
(ii) infinitely many solutions
(iii) a unique solution.
(b) By substituting d = 3 and e = 2 into the upper triangle form obtained
in (a) and continue using the Gaussian elimination, solve this system
of equations.
Transcribed Image Text:Below is a system of equations: x+y+z=1 x-2y+z = 4 2.x - y+d = e (a) For what values of d and e will the system of equations have (i) no solution (ii) infinitely many solutions (iii) a unique solution. (b) By substituting d = 3 and e = 2 into the upper triangle form obtained in (a) and continue using the Gaussian elimination, solve this system of equations.
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