Change diagonal place
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How can I switch places the diagonal and the first column from a square matrix?
1 Comment
Fangjun Jiang
on 23 Dec 2011
You could use an example to explain what you mean.
Accepted Answer
More Answers (1)
Image Analyst
on 23 Dec 2011
This code works of a square matrix of any size. I present both a looping and vectorized way.
a=magic(6)
b=a;
for i =2:size(a,1)
temp = a(i,i);
b(i,i)= b(i,1);
b(i,1) = temp;
end
b
% Loopless way
a=magic(6)
b=a;
diagonalElementsMask = logical(eye(size(a,1)))
% Save diagonal elements, because we're going to replace them.
bDiagonalElements = b(diagonalElementsMask)
% Replace diagonal elements with first column.
b(diagonalElementsMask) = b(:,1);
% Replace first column with diagonal elements.
b(:,1) = bDiagonalElements
a =
35 1 6 26 19 24
3 32 7 21 23 25
31 9 2 22 27 20
8 28 33 17 10 15
30 5 34 12 14 16
4 36 29 13 18 11
b =
35 1 6 26 19 24
32 3 7 21 23 25
2 9 31 22 27 20
17 28 33 8 10 15
14 5 34 12 30 16
11 36 29 13 18 4
3 Comments
bym
on 23 Dec 2011
careless indeed :| +1
Andrei Bobrov
on 23 Dec 2011
b = 1:size(a,1)+1:numel(a)
c = 1:size(a,1)
a([b,c]) = a([c,b])
Image Analyst
on 23 Dec 2011
OK, this one works.
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