Solving a System of Equations with MATLAB

[sara_87]

i have two equations and 2 unknowns.
i have to represent this system of equations in a matrix form and then solve it...how do i do that on matlab?

 

[unplebeian]

AX= B is your format. so X= inv(A)B

That should help.

 

[tacman]

To solve a system of equations with MATLAB, you can use the "solve" function. This function takes in two arguments: a vector of equations and a vector of unknown variables.

For example, if your system of equations is:
2x + 3y = 8
4x - 5y = -2

You can represent it in a matrix form as:
[2 3; 4 -5] * [x; y] = [8; -2]

Then, in MATLAB, you can define the equations as a vector:
eqns = [2*x + 3*y == 8, 4*x - 5*y == -2]

Next, define the unknown variables as a vector:
vars = [x, y]

Finally, use the "solve" function to solve for the unknown variables:
sol = solve(eqns, vars)

The output will be a structure with the values of x and y that satisfy both equations. You can access these values by using dot notation, for example:
sol.x
sol.y

Alternatively, you can also use the "linsolve" function in MATLAB to solve a system of linear equations represented in matrix form. This function takes in the coefficient matrix and the constant vector as arguments. For the example above, you can use it as:
A = [2 3; 4 -5]
b = [8; -2]
sol = linsolve(A, b)

The output will be a vector with the values of x and y that satisfy the equations.

Overall, MATLAB provides multiple functions to solve a system of equations, and it is important to understand the underlying concepts and choose the appropriate function based on your specific problem.