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]
Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter11: Systems Of Equations
Section11.CT: Test
Problem 24CT
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