Write a program so that with help of 3 for-end loops we form a matrix C that will be equivalent to C= A*B - B*A

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Iva Budan
Iva Budan 2022-4-29
评论： Jan 2022-5-2
Let 2 matrices (A and B) be given in MatLab.Write a program so that with help of 3 for-end loops we form a matrix C that will be equivalent to C= A*B - B*A
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Jan
Jan 2022-4-29
编辑：Jan 2022-4-29
This is a homework question. As usual, post, what you have tried so far and ask a specific question concern the remaining Matlab problem.
The actual problem is interesting. You can avoid to calculate A*B and B*A explicitly.
@Jakub Devera: If A*B and B*A is mathematically defined, A and B must be square matrices.

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回答（2 个）

Srija Kethiri
Srija Kethiri 2022-5-2
Hi Iva,
From my understanding you want to to get a matrix C, where C = A*B - B*A. To get the matrix C it is possible only if A and B both are square matrices with same dimension.
The code for finding C is:
[c,d] = size(A);
[e,f] = size(B);
C = zeros(c,c);
if(c==d && e==f && c==e)
for i=1:c
for j=1:c
sum1 =0;
sum2 =0;
for p = 1:c
sum1 = sum1 + A(i,p)*B(p,j);
sum2 = sum2 +B(i,p)*A(p,j);
C(i,j) = sum1-sum2;
end
end
end
end
  2 个评论
John D'Errico
John D'Errico 2022-5-2
Please don't answer obvious homework assignment questions, when no effort was made or shown. This does not help the student. It only teaches them to post the rest of their homework on Answers, and that hurts the site.
Jan
Jan 2022-5-2
I agree with John.
Your code overwrites C(i,j) in each iteration of the inner loop. One variable would be enough for the accumulation.

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Matt J
Matt J 2022-5-2
编辑：Matt J 2022-5-2
Ran in:
A=rand(4); B=rand(4); %synthetic input data
M={A,B;B,A};
mask=[1 1;1,-1];
for i=1:4
M{i}=mask(i)*M{i};
end
for i=1:2
M{i,1}=M{i,1}*M{i,2};
end
C=0;
for i=1:2
C=C+M{i};
end
C-(A*B-B*A)%Check the result
ans = 4×4
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0

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