how to use ga function to calculate a matrix

I want to use ga function to calculate a matrix with 13 × 1 shape.

In the folloing code, spectra is a 413 × 13 matrix, random_matrix is a 413 × 1 matrix.

lb = zeros(13, 1);   % Lower bounds for each element of the matrix  
ub = ones(13, 1);    % Upper bounds for each element of the matrix  
fitnessFcn = @(x) mean((spectra * x - random_matrix).^2);  
options = optimset('Display', 'iter');  
[xOpt, fOpt] = ga(fitnessFcn, 13, [], [], [], [], lb, ub, [], options);  

I wonder how to use ga function to calculate a matrix by the function which has matrix multiplying.

The bug log is the folloing, and times. function cannot solve the problem.

Can anyone give me an example about calculating a matrix by the function which has matrix multiplying.

错误使用  * 
用于矩阵乘法的维度不正确。请检查并确保第一个矩阵中的列数与第二个矩阵中的行数匹配。要单独对矩阵的每个元素进行运算，请使用 TIMES (.*)执行按元素相乘。
出错 untitled>@(x)mean((spectra*x-random_matrix).^2) (第 104 行)
fitnessFcn = @(x) mean((spectra * x - random_matrix).^2);
出错 createAnonymousFcn>@(x)fcn(x,FcnArgs{:}) (第 11 行)
fcn_handle = @(x) fcn(x,FcnArgs{:});
出错 makeState (第 58 行)
            firstMemberScore = FitnessFcn(state.Population(initScoreProvided+1,:));
出错 galincon (第 24 行)
state = makeState(GenomeLength,FitnessFcn,Iterate,output.problemtype,options);
出错 ga (第 420 行)
            [x,fval,exitFlag,output,population,scores] = galincon(FitnessFcn,nvars, ...

出错 untitled (第 110 行)
[xOpt, fOpt] = ga(fitnessFcn, 13, [], [], [], [], lb, ub, [], options);
原因:
    Failure in initial user-supplied fitness function evaluation. GA cannot continue.

Answer 1

[Walter Roberson]

When you ask for 13 variables, your function will get passed a row vector 1 x 13. Your code assumes that it will receive a column vector.

The shape you give for ub and lb does not affect the shape of the vector that is passed to your function.

[yijia]

Thank you very much! When i change the "spectra * x" to "spectra * transpose(x)", it works.