Using the "linsolve" function to set up the system of linear equations indeed is the solution to your problem. You just need to assign the matrices on the LHS of the equation 
to the matrix A and the RHS to matrix B.
to the matrix A and the RHS to matrix B. The "linsolve" function will then model this system of linear equations in the form, 
and solve this form to obtain the coefficients, a and b. Here is a sample code to help you with the same:
and solve this form to obtain the coefficients, a and b. Here is a sample code to help you with the same:% Define the matrix M
M = [1, 2, 0; 1, 3, 5; 3, 8, 10];
% Extract vectors v, w, u
v = M(1, :)';
w = M(2, :)';
u = M(3, :)';
% Construct the matrix A using v and w
A = [v, w];
% Vector B is u
B = u;
% Solve for x = [a; b] using linsolve
x = linsolve(A, B);
% Display the results
a = x(1);
b = x(2);
fprintf('The scalars are a = %.2f and b = %.2f\n', a, b);
For more information regarding how you can use the "linsolve" function to solve a system of linear equations, you can look at the examples listed in this documentation: https://www.mathworks.com/help/matlab/ref/linsolve.html
