4. An automobile company uses three types of Steel S₁, S₂ and S3 for providing three different types of Cars C₁, C₂ and C3. Steel requirement R (in tonnes) for each type of car and total available steel of all the three types are summarized in the following table. Types of Steel Types of Cars C₁ C₂ S₁ 3 2 S₂ 1 1 S3 2 2 The number of cars of type C₁, C₂ and C3 are x, y and z respectively. C3 4 2 1 Total Steel available (iii)Show that the matrix A is a non-singular matrix. (iv) Hence, by using Cramer's Rule solve the above system of linear equations. 28 13 14 (i) Obtain a system linear equations to represent the above information. [2 marks] (ii) Write down the system of linear equations obtained in (a) in the form of matrix equation AX= B, where X = (y (). [1 marks] [3 marks] [4 marks]
4. An automobile company uses three types of Steel S₁, S₂ and S3 for providing three different types of Cars C₁, C₂ and C3. Steel requirement R (in tonnes) for each type of car and total available steel of all the three types are summarized in the following table. Types of Steel Types of Cars C₁ C₂ S₁ 3 2 S₂ 1 1 S3 2 2 The number of cars of type C₁, C₂ and C3 are x, y and z respectively. C3 4 2 1 Total Steel available (iii)Show that the matrix A is a non-singular matrix. (iv) Hence, by using Cramer's Rule solve the above system of linear equations. 28 13 14 (i) Obtain a system linear equations to represent the above information. [2 marks] (ii) Write down the system of linear equations obtained in (a) in the form of matrix equation AX= B, where X = (y (). [1 marks] [3 marks] [4 marks]
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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![4. An automobile company uses three types of Steel S₁, S₂ and S3 for providing three different
types of Cars C₁, C₂ and C3. Steel requirement R (in tonnes) for each type of car and total
available steel of all the three types are summarized in the following table.
Types of Steel
Types of Cars
С1
C₂
3
2
1
1
S3
2
2
The number of cars of type C₁, C₂ and C3 are x, y and z respectively.
S₁
C3
4
2
1
Total Steel
available
AX= B, where X = (y
()
(iii)Show that the matrix A is a non-singular matrix.
(iv)Hence, by using Cramer's Rule solve the above system of linear equations.
28
13
14
(i) Obtain a system linear equations to represent the above information.
[2 marks]
(ii) Write down the system of linear equations obtained in (a) in the form of matrix equation
[1 marks]
[3 marks]
[4 marks]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F966ca0fc-77ec-4200-9e02-82ce23d32cf8%2F1f479dad-b81a-4104-a184-5749e049aa8b%2Fsml8uird_processed.jpeg&w=3840&q=75)
Transcribed Image Text:4. An automobile company uses three types of Steel S₁, S₂ and S3 for providing three different
types of Cars C₁, C₂ and C3. Steel requirement R (in tonnes) for each type of car and total
available steel of all the three types are summarized in the following table.
Types of Steel
Types of Cars
С1
C₂
3
2
1
1
S3
2
2
The number of cars of type C₁, C₂ and C3 are x, y and z respectively.
S₁
C3
4
2
1
Total Steel
available
AX= B, where X = (y
()
(iii)Show that the matrix A is a non-singular matrix.
(iv)Hence, by using Cramer's Rule solve the above system of linear equations.
28
13
14
(i) Obtain a system linear equations to represent the above information.
[2 marks]
(ii) Write down the system of linear equations obtained in (a) in the form of matrix equation
[1 marks]
[3 marks]
[4 marks]
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