Discuss according to the value(s) of λ, the nature of the solution(s) of the system represented by the augmented matrix 1 0 2² 10 1 1 1 2 3 Determine the solution(s) of the corresponding system whenever possible: For λ=1 the system has infinitely many solutions given by x = 1 + 1, y = 1-tand z = t For = -1 the system has infinitely many solutions given by x = 1+1, y = 1 - 1 and z = 1 For=0 the system has infinitely many solutions given by x = 1 + 1, y = 1 - 1 and z = 1 For λ=1 the system has infinitely many solutions given by x = 1, y = -1 and z = 1 For λ = -1 the system has infinitely many solutions given by x = 1, y = 0 and z = 1

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Discuss according to the value(s) of λ, the nature of the solution(s) of the system
represented by the augmented matrix
1 0 2²
10 1 1
1 2 3
Determine the solution(s) of the corresponding system whenever possible:
For λ=1 the system has infinitely many solutions given by
x = 1 + 1, y = 1-tand z = t
For = -1 the system has infinitely many solutions given by
x = 1+1, y = 1 - 1 and z = 1
For=0 the system has infinitely many solutions given by
x = 1 + 1, y = 1 - 1 and z = 1
For λ=1 the system has infinitely many solutions given by
x = 1, y = -1 and z = 1
For λ = -1 the system has infinitely many solutions given by
x = 1, y = 0 and z = 1
Transcribed Image Text:Discuss according to the value(s) of λ, the nature of the solution(s) of the system represented by the augmented matrix 1 0 2² 10 1 1 1 2 3 Determine the solution(s) of the corresponding system whenever possible: For λ=1 the system has infinitely many solutions given by x = 1 + 1, y = 1-tand z = t For = -1 the system has infinitely many solutions given by x = 1+1, y = 1 - 1 and z = 1 For=0 the system has infinitely many solutions given by x = 1 + 1, y = 1 - 1 and z = 1 For λ=1 the system has infinitely many solutions given by x = 1, y = -1 and z = 1 For λ = -1 the system has infinitely many solutions given by x = 1, y = 0 and z = 1
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