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In: Mechanical Engineering

Use MATLAB to solve the following problem: x - 3y = 2 x + 5y = 18 4x - 6y = 20

Use MATLAB to solve the following problem:

x - 3y = 2

x + 5y = 18

4x - 6y = 20

 

 

Solutions

Expert Solution

We have been given two variables and three equations. Now, this is an overdetermined system. This system has unique exact solution if rank of matrix A and [A b] are same.

Our equations are

x – 3y = 2

x + 5y = 18

4x – 6y = 20

 

The corresponding matrix equation is

Ax = b

 

Where

 

We find the rank of matrix A and [A b] using MATLAB:

 

We find that the ranks are same. So, we can obtain the unique solution by using the left division method. Left division is used to solve the matrix equation Ax = b. The command is A/b.

 

We see that our final solution is

x = 8 y = 2.

We see that our final solution is

x = 8 y = 2.

Junaid answered 2 years ago
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