6x + 24y + -72z 96 14x 56y + -168z = 224 -20x + -80y + 240z = -320 The augmented matrix for the above linear system is This has reduced row echelon form and hence the general solution for the system in vector form is: (Note: if you do not need all the free variable vectors fill in the unnecessary vector(s) with -O' in each of its positions.)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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бх +
24y
-72z =
96
14x +
56у +
-168z = 224
-20x
+ -80y +
240z
-320
The augmented matrix for the above linear system is
This has reduced row echelon form
and hence the general solution for the system in vector form is:
(Note: if you do not need all the free variable vectors fill in the unnecessary vector(s) with -0' in each of its positions.)
+s
+1
Transcribed Image Text:бх + 24y -72z = 96 14x + 56у + -168z = 224 -20x + -80y + 240z -320 The augmented matrix for the above linear system is This has reduced row echelon form and hence the general solution for the system in vector form is: (Note: if you do not need all the free variable vectors fill in the unnecessary vector(s) with -0' in each of its positions.) +s +1
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