MATRICES with customized sum for rows and columns
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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
1 个评论
Stephen23
2015-5-21
采纳的回答
Michael Haderlein
2015-5-7
编辑：Michael Haderlein
2015-5-7
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;
3 个评论
MSH
2015-5-7
Michael Haderlein
2015-5-7
编辑：Michael Haderlein
2015-5-7
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
2015-5-21
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