-4v +-7w+-4x+-6y +-5z = 28 -8v+-8w+-1x +-2y + 2z = 6 8v +5w +-1x +-2y + 3z = -24 -9v+-3w+-4x + 5y + 4z 8v +2w +-7x + 7y +-8z = 27 The final augmented matrix using Gauss Elimination Method would look like this: a11 a12 a13 a14 0 f22 f23 f24 0 0 g33 g34 0 0 0 h44 0 0 0 0 = 18 a15 a6 f25 f7 g35 g8 h45 h9 i55 i10

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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Question

Given the equations below

Solve for R if 

R = a11 + f22 + g33 + h44 + i55

 

-4v + -7w+-4x+ -6y + -5z = 28
-8v+-8w+-1x
+ -2y + 2z
6
8v + 5w+-1x + -2y+3z
-9v+-3w+-4x + 5y + 4z = 18
8v +2w +-7x + 7y +-8z = 27
The final augmented matrix using Gauss Elimination Method would look like this:
a15 a6
f25
f7
g35 g8
h45
h9
i55
i10
a11 a12 a13 a14
O
f22 f23 f24
0
0
0 g33 g34
0 h44
0
boo o
||
=
=
-24
Transcribed Image Text:-4v + -7w+-4x+ -6y + -5z = 28 -8v+-8w+-1x + -2y + 2z 6 8v + 5w+-1x + -2y+3z -9v+-3w+-4x + 5y + 4z = 18 8v +2w +-7x + 7y +-8z = 27 The final augmented matrix using Gauss Elimination Method would look like this: a15 a6 f25 f7 g35 g8 h45 h9 i55 i10 a11 a12 a13 a14 O f22 f23 f24 0 0 0 g33 g34 0 h44 0 boo o || = = -24
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