find the set s of all solutions in x of the following inhomogeneous linear systems ax = b, where a and b are defined as follows in matlab

In MATLAB, you can use the backslash operator "" to find the set of all solutions to an inhomogeneous linear system of equations. The left division operation represents solving linear equations in the form of Ax = b, where A is the coefficient matrix, x is the solution vector, and b is the right-hand side vector.

Here is an example of how to find the set s of all solutions in x for the given inhomogeneous linear system in MATLAB:

main.m
% Define coefficient matrix A
A = [1 2; 3 4; 5 6];

% Define right-hand side vector b
b = [7; 8; 9];

% Solve the linear system
x = A\b;

% Display the set of all solutions
s = x
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In the above code, we first define the coefficient matrix A and the right-hand side vector b. Then, we use the backslash operator to solve the linear system by finding the solution vector x. Finally, we store the solution vector in s and display it.

Note: The backslash operator in MATLAB uses various numerical algorithms to efficiently solve the linear system, including Gaussian elimination, LU factorization, and least squares method, depending on the properties of the system.