Describe the relationship between each set of planes, and solve the system if possible: (i) x-y-2z=3 3x-3y-6z=6 4x-4y-6z=12 (ii) 2x-y+3z=4 6x-3y+9z=6 4x-2y+6z=10 (iii) x-2y+ 4z = -4 2x+4y-12=9 3x+4y+2z=8

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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(b) Describe the relationship between each set of planes, and solve the system if possible:
(1)
x-y-2z=3
3x-3y-6z=6
4x-4y-6z=12
(ii) 2x-y+3z=4
6x-3y+9z=6
4x-2y+6z=10
(iii) x-2y+ 4z = -4
2x+4y-1z=9
3x+4y+2z=8
Transcribed Image Text:(b) Describe the relationship between each set of planes, and solve the system if possible: (1) x-y-2z=3 3x-3y-6z=6 4x-4y-6z=12 (ii) 2x-y+3z=4 6x-3y+9z=6 4x-2y+6z=10 (iii) x-2y+ 4z = -4 2x+4y-1z=9 3x+4y+2z=8
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