Numerical Methods for Engineers
7th Edition
ISBN: 9780073397924
Author: Steven C. Chapra Dr., Raymond P. Canale
Publisher: McGraw-Hill Education
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Textbook Question
Chapter 9, Problem 5P
Given the system of equations
(a) Solve graphically and check your results by substituting them back into the equations.
(b) On the basis of the graphical solution, what do you expect regarding the condition of the system?
(c) Compute the determinant.
(d) Solve by the elimination of unknowns.
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Solve the given system of the equations using the method of determinants
3x+y+2= = 3
2x-3y-z=-3
x+2y+z=4
B.
Given the system of equations
-1.1x₁ + 10x₂ = 120
-2x₁ + 17.4x₂ = 174
(a) Solve graphically and check your results by substituting them
back into the equations.
(b) On the basis of the graphical solution, what do you expect re-
garding the condition of the system?
(c) Compute the determinant.
Consider the following pair of simultaneous equations:
6x + 4y − 14 = 0
5x − 3y − 37 = 0
(b) Solve the above equations using determinants.
Chapter 9 Solutions
Numerical Methods for Engineers
Ch. 9 - (a) Write the following set of equations in matrix...Ch. 9 - A number of matrices are defined as...Ch. 9 - Three matrices are defined as...Ch. 9 - Use the graphical method to solve...Ch. 9 - 9.5 Given the system of equations
(a) Solve...Ch. 9 - 9.6 For the set of equations
(a) Compute the...Ch. 9 - Given the equations 0.5x1x2=9.51.02x12x2=18.8 (a)...Ch. 9 - Given the equations...Ch. 9 - Use Gauss elimination to solve:...Ch. 9 - Given the system of equations...
Ch. 9 - 9.11 Given the equations
(a) Solve by Gauss...Ch. 9 - Use Gauss-Jordan elimination to solve:...Ch. 9 - 9.13 Solve:
with (a) naive Gauss elimination,...Ch. 9 - 9.14 Perform the same computation as in Example...Ch. 9 - 9.15 Solve
Ch. 9 - 9.16 Develop, debug, and test a program in either...Ch. 9 - Develop, debug, and test a program in either a...Ch. 9 - Develop, debug, and test a program in either a...Ch. 9 - 9.19 Three masses are suspended vertically by a...Ch. 9 - 9.20 Develop, debug, and test a program in either...Ch. 9 - 9.21 Recall from Sec. 8.2 that determining the...
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