1. Determine whether each of the given points below is a solution of the linear system x1 + 6x2 + 2x3 - 5x4 - 2x5 2x38x4 - = −4 X5 = 3 X5 = 7. (a) (0,0,5,0,7) (b) (1,1,1,1,1) How many solutions exist for this system? Justify your response. (c) (-6,1,5,0,7)

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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1. Determine whether each of the given points below is a solution of the linear system
x1 + 6x2 + 2x3 – 5x4 − 2x5
2x38x4- X5
-4
3
X5 = 7.
=
=
(a) (0,0,5,0,7)
(b) (1,1,1,1,1)
How many solutions exist for this system? Justify your response.
(c) (-6,1,5,0,7)
Transcribed Image Text:1. Determine whether each of the given points below is a solution of the linear system x1 + 6x2 + 2x3 – 5x4 − 2x5 2x38x4- X5 -4 3 X5 = 7. = = (a) (0,0,5,0,7) (b) (1,1,1,1,1) How many solutions exist for this system? Justify your response. (c) (-6,1,5,0,7)
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