use backslash function to solve the following system of equations: 1c1 + 4c2 -2c3 + 3c4 = 0 , -4c2 + 2c4 = 1 , -3c1 +c2 -c3 = 7 , 2c1 -c3 + 2c4 = 5 in matlab

To solve the given system of equations using MATLAB, you need to represent the system of equations in matrix form and then use the backslash operator \ to solve for the unknown variables.

Here's how you can do it in MATLAB:

main.m
% Coefficient matrix
A = [1, 4, -2, 3; 
     0, -4, 0, 2; 
     -3, 1, -1, 0; 
     2, 0, -1, 2];
 
% Right-hand side of the equations
B = [0; 1; 7; 5];

% Solve for the unknown variables using the backslash operator
X = A \ B;

disp(X);
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In this code snippet:

• A is the coefficient matrix of the system of equations.
• B is the right-hand side vector.
• X contains the solution vector [c1; c2; c3; c4].

By running this code in MATLAB, you will get the values of c1, c2, c3, and c4 that satisfy the system of equations.