# MATRICES with customized sum for rows and columns

조회 수: 3 (최근 30일)
MSH 2015년 5월 7일
댓글: Stephen23 2015년 5월 21일
I want to create 4 matrices (6x10) with sums of rows and columns as following; in a single program/code.
mat1: sum_row1=sum_row2=......=sum_row6=r(say) sum_col1=sum_col2=......=sum_col6=c(say)&&&&&&& r=c
mat2: sum_row1=sum_row2=......=sum_row sum_col1≠sum_col2≠......≠sum_col6
mat3: sum_row1≠sum_row2≠......≠sum_row6 sum_col1=sum_col2=......=sum_col6
mat4: sum_row1≠sum_row2≠......≠sum_row6 sum_col1≠sum_col2≠......≠sum_col6
Kindly suggest some logic/program
Thanks
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Stephen23 2015년 5월 21일

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### 채택된 답변

편집: Michael Haderlein 2015년 5월 7일
To get mat1, you can use the magic function:
>> mat1=magic(4)
mat1 =
16 2 3 13
5 11 10 8
9 7 6 12
4 14 15 1
>> sum(mat1,1)
ans =
34 34 34 34
>> sum(mat1,2)
ans =
34
34
34
34
mat2, mat3 and mat4 are easy, for instance use randoms and normalize the columns/rows:
>> matrand=rand(4);
>> mat2=bsxfun(@rdivide,matrand,sum(matrand));
>> sum(mat2)
ans =
1 1 1 1
>> mat3=bsxfun(@rdivide,matrand,sum(matrand,2));
>> sum(mat3,2)
ans =
1.0000
1.0000
1.0000
1.0000
mat4=matrand;
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편집: Michael Haderlein 2015년 5월 7일
Oh, sorry, I didn't read that you need 6x10 matrices. However I'm confident that in this case mat1 only exists if all the sums are zero. If this is fine with you, create the matrix with
>> matrand=randi(100,5,9);
>> mat1=[matrand -sum(matrand,2);-sum(matrand,1) sum(matrand(:))];
>> sum(mat1,1)
ans =
0 0 0 0 0 0 0 0 0 0
>> sum(mat1,2)
ans =
0
0
0
0
0
0
MSH 2015년 5월 21일
THANKS

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