How to save results matrix in multi dimensional matrix?

I have A matrix of 9x9, B matrix of 9x1.

C is my result matrix of 9x1

I have two for loops as follows where t and e are variables used in the above mentioned matrices.

for t=25:10:45
    for e=0.25:0.1:0.45
        C = inv(A)*B
    end
end

Now, I want result matrices for all t in first matrix ((9x1) which will be (9x9) matrix) for first variable of c and second and third (9x9)martices for second and third values of c.

.I dont know how to do. May I get help in this?

[Jan]

I do not understand this sentence: "result matrices for all t in first matrix ((9x1) which will be (9x9) matrix) for first variable of c and second and third (9x9)martices for second and third values of c." What is the "first matrix"? Isn't "(9x1) which will be (9x9) matrix" a contradiction?

Where are A and B defined?

Note that inv(A)*B is less stable than A\B, so prefer the last.

[Vignesh]

A matrix 9x9 and B matrix 9x1 is established before the code.I didn't posted to reduce the cluster.

It is linear solving of the two matrix for 9 variables, so that the resultant matrix C will be 9x1.

t and e are the two variables which comes in the matrices A and B which need to be assigned values.So, two far loops are assigned for the same.

Now, if the variables t and e are assigned a single variables each, then my result matrix C is going to be 9x1 matrix. But, as I am varying those values in the loop, I want to store the result matrices in multi-dimensional for easy understanding.

So, I would like to store the result matrix of first iteration of t value in first matrix 9rows x 1st column, then second iteration of t value in first matrix 9rows x 2nd column etc,. until the t loop values for first e value ends. Then, I want to save a new matrix for all t iterations for second values of e etc,.

Hope I am clear now.

Answer 1

[Stephen23]

In general with MATLAB it is easier (even if more verbose) to iterate over indices rather than over data. For example:

tV = 25:10:45;
eV = 0.25:0.1:0.45;
tN = numel(tV);
eN = numel(eV);
C = cell(tN,eN);
for ii = 1:tN
    for jj = 1:eN
        t = tV(ii);
        e = eV(jj);
        .. define your matrices here
        C{ii,jj} = A\B; % better than INV(A)*B
    end
end

https://www.mathworks.com/help/matlab/matlab_prog/access-data-in-a-cell-array.html