Hi Matthew,
As per my understanding, you want to find a new matrix ‘B’ that satisfies the matrix multiplication equation: 'newB * a2 = c', given 'c' and 'a2'.
One possible approach is to use an optimization algorithm to iteratively update the values of 'newB' until the equation is satisfied, such as the least squares method which will minimize the difference between 'newB * a2' and 'c'.
You can use ‘fminunc’ function in MATLAB to solve the optimization problem. You will need to provide the objective function, the initial guess for 'newB', and other options as per your problem criteria as follows:
% Define the objective function
objective = @(newB) sum(sum((newB * a2 - c).^2));
% Set up the optimization problem
options = optimoptions('fminunc', 'Display', 'iter');
initialGuess = B; % Use B as the initial guess for newB
% Solve the optimization problem
[newB, ~] = fminunc(objective, initialGuess, options);
% Check if newB * a2 equals c
checkofC = newB * a2;
To read more about the 'fminunc' function, you can refer to the following link:
Hope it helps.
