Please give me correct solution. 4. An automobile company uses three types of Steel S₁, S₂ and S3 for providing three differenttypes of Cars C₁, C₂ and C3. Steel requirement R (in tonnes) for each type of car and totalavailable steel of all the three types are summarized in the following table.Types of SteelTypes of CarsС1C₂3211S322The number of cars of type C₁, C₂ and C3 are x, y and z respectively.S₁C3421Total SteelavailableAX= 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.281314(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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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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