Code for Multiple Matrix Multiplication

12 views (last 30 days)
I have 'n' number of two dimensional(square) matrices. I have stored them as stack in a single three dimensional matrix. How can I perform series of matrix multiplication from 1 to n matrices without explicitly writing the whole line?
n=3;
a,b,c; % Three 2d matrices with same dimension
T(:,:,1) = a;
T(:,:,2) = b;
T(:,:,3) = c;
ans = T(:,:,1)*T(:,:,2)*T(:,:,3);% Explicitly performing matrix multiplication

Accepted Answer

Stephen23
Stephen23 on 14 Jun 2019
Edited: Stephen23 on 14 Jun 2019
>> T=randi(9,4,4,3); % fake data
>> T(:,:,1)*T(:,:,2)*T(:,:,3) % your approach
ans =
2359 1398 2072 2154
1788 1103 1625 1734
1731 1137 1653 1808
2154 1282 1849 1995
>> M=1; for k=1:size(T,3), M=M*T(:,:,k); end % simple loop
>> M
M =
2359 1398 2072 2154
1788 1103 1625 1734
1731 1137 1653 1808
2154 1282 1849 1995

More Answers (1)

madhan ravi
madhan ravi on 14 Jun 2019
RR = cell(1,size(T,3)-1); % where T is your 3D matrix
RR{1} = T(:,:,1)*T(:,:,2);
for k = 2:size(T,3)-1
RR{k} = RR{k-1} * T(:,:,k+1);
end
Wanted = RR{end}

Categories

Find more on Matrices and Arrays in Help Center and File Exchange

Products


Release

R2018a

Community Treasure Hunt

Find the treasures in MATLAB Central and discover how the community can help you!

Start Hunting!