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Algorithmically create block matrices

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I want to create a block matrix out of square matrices with the following structure
H = [A B C D;
B A B C;
C B A B;
D C B A]
Cleraly, if I was interested in only a 4x4 block, this would be enough. However, I'm interested in constructing such matrices out of a set of N square matrices A,B,C,D,E ... forming an N by N matrix of square matrices. Suppose I define
Matrices = [A B C D E];
What is the code I need to construct the corresponding 5 by 5 block matrix?

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Accepted Answer

Fangjun Jiang
Fangjun Jiang on 17 Dec 2020
cat()
vertcat()

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David Cyncynates
David Cyncynates on 17 Dec 2020
oh i see - cycle through Matrices and then cat. Thanks!

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