Express the system of linear equations in part (a) as a matrix equation in the form of AX = B. Hence, for k = 5, solve the matrix equation to %3D determine the value of x,y and z by using THREE (3) different methods below: Method 1: Inverse Matrix Method 2: Gauss Jordan Elimination Method Method 3: Cramer's Rule Show all steps required for each method. Then, create a table to compare the process in terms of complexity between Method 1, Method 2 and Method 3.
Express the system of linear equations in part (a) as a matrix equation in the form of AX = B. Hence, for k = 5, solve the matrix equation to %3D determine the value of x,y and z by using THREE (3) different methods below: Method 1: Inverse Matrix Method 2: Gauss Jordan Elimination Method Method 3: Cramer's Rule Show all steps required for each method. Then, create a table to compare the process in terms of complexity between Method 1, Method 2 and Method 3.
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
please provide answers for (b) and (c)
Transcribed Image Text:Painting, drying and polishing are all basic processes in the manufacturing of
cars. Theta Motor company produces three types of cars: Model A,
Model B and Model C. Each Model A requires (2k + 2) hours for painting,
5 hours for drying and 4 hours for polishing. Model B requires 14 hours for
painting, 7 hours for drying and k hours for polishing and Model C requires
10 hours for painting, (k – 1) hours for drying and 1 hour for polishing. The
company has allocated 246 hours for painting, 104 hours for drying and 55
hours for polishing per month.
а.
By assuming that x,y and z represent the number of cars produced per
month for Model A, Model B and Model C respectively and k is a
constant, transform the given information into a system of linear
equations.
Transcribed Image Text:b.
Express the system of linear equations in part (a) as a matrix equation
in the form of AX = B. Hence, for k = 5, solve the matrix equation to
determine the value of x, y and z by using THREE (3) different methods
below:
Method 1: Inverse Matrix
Method 2: Gauss Jordan Elimination Method
Method 3: Cramer's Rule
Show all steps required for each method. Then, create a table to
compare the process in terms of complexity between Method 1,
Method 2 and Method 3.
Suggest a strategy to the company in order to maximize the number of
С.
cars produced per month for each model. Provide ONE (1) complete
example.
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