EBK NUMERICAL METHODS FOR ENGINEERS
EBK NUMERICAL METHODS FOR ENGINEERS
7th Edition
ISBN: 8220100254147
Author: Chapra
Publisher: MCG
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Chapter 9, Problem 8P

Given the equations

10 x 1 + 5 x 2 x 3 = 27 3 x 1 6 x 2 + 2 x 3 = 61.5 x 1 + x 2 + 5 x 3 = 21.5

(a) Solve by naive Gauss elimination. Show all steps of the computation.

(b) Substitute your results into the original equations to check your answers.

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2. Solve the system linear of Equation using Gauss- Jordan elimination (row operations), find the value of x1, x2 and x3. 2X1 - 2X2 + X3 = 3 3X1 - X3 + X2 = 7 X1 - 3X2 + 2X3 = 0
Determine if the system is consistent or inconsistent. Justify your answer and find all solutions to the system of linear equations. Justification should be written on your solution paper. Transform the matrix into ROW ECHELON FORM (REF) using row operations. 2x +8y+ 6z = 20 4x+2y-2z =-2 3x-y+z = 11 Enter final answer: (x, y, z) =(
8. Use the Lagrange multiplier method to find the point on the line 3x + 8y = 146 that is closest to the origin.
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