Consider the simultaneous equations below. 3y - 4z = 16 2x - 5y + 7z =-27 -x- 9z = 9 i. Use the inverse of matrix to solve the simultaneous equations. ii. Then use Cramer's Rule to confirm the answer from (i). Use Gaussian Elimination to solve simultaneous equations below. 3x - 2y +z = 13 -2x + y + 4z = 11 x + 4y-5z =-31 %3D

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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QUESTION 2:
a) Consider the simultaneous equations below.
3y - 4z = 16
2x 5y + 7z = -27
|
-x - 9z = 9
i. Use the inverse of matrix to solve the simultaneous equations.
Then use Cramer's Rule to confirm the answer from (i).
ii.
b) Use Gaussian Elimination to solve simultaneous equations below.
3x – 2y + z = 13
-2x + y+ 4z = 11
x +4y - 5z = -31
%3D
Transcribed Image Text:QUESTION 2: a) Consider the simultaneous equations below. 3y - 4z = 16 2x 5y + 7z = -27 | -x - 9z = 9 i. Use the inverse of matrix to solve the simultaneous equations. Then use Cramer's Rule to confirm the answer from (i). ii. b) Use Gaussian Elimination to solve simultaneous equations below. 3x – 2y + z = 13 -2x + y+ 4z = 11 x +4y - 5z = -31 %3D
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