solve the following systems of linear equations by using the backslash operator "\". a) 2x = −3y + z + 5 3z = 2y − 4x + 10 y = −x − z + 3 in matlab

To solve a system of linear equations using the backslash operator "" in MATLAB, you can follow these steps:

1. Define the coefficients of the variables and the constants in matrix form.
2. Use the backslash operator "" to solve the system of equations.

For example, to solve the given system of equations:

main.m
2x = −3y + z + 5
3z = 2y − 4x + 10
y = −x − z + 3
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In MATLAB, you can define the coefficient matrix A and the constant vector b as:

main.m
A = [2, 3, -1; 4, -2, -3; -1, 1, -1];
b = [-5; -10; -3];
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Then, you can solve the system of equations using the backslash operator as:

main.m
x = A\b;
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The variable x will store the solution to the system of equations: x = [x; y; z].

Therefore, the MATLAB code to solve the given system of equations using the backslash operator "" is:

main.m
A = [2, 3, -1; 4, -2, -3; -1, 1, -1];
b = [-5; -10; -3];
x = A\b;
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After running this code, you can access the values of x, y, and z as: x(1), x(2), and x(3) respectively.