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

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.9: Properties Of Determinants
Problem 46E
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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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