how to multiply every single element in a matrix to entire of another matrix?

Question

majid 2024-4-7

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https://ww2.mathworks.cn/matlabcentral/answers/2103811-how-to-multiply-every-single-element-in-a-matrix-to-entire-of-another-matrix

编辑： majid 2024-4-7

采纳的回答： Paul

在 MATLAB Online 中打开

Hello.

I want to multiply every single element in a matrix to entire of another matrix.

x = [100,500,900,1300,1700;
    120,600,1080,1560,2040;
    140,700,1260,1820,2380;
    160,800,1440,2080,2720;
    180,900,1620,2340,3060];
z = rand (4,20);

I want to multiply 100 to entire z and then 500 and so on... but when each multipication occured saved it in new indexed parameter.

how can I do this?

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Answer 1

Paul 2024-4-7

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https://ww2.mathworks.cn/matlabcentral/answers/2103811-how-to-multiply-every-single-element-in-a-matrix-to-entire-of-another-matrix#answer_1437531

在 MATLAB Online 中打开

Here's one option to store each result in a cell array that's the same size as x

x = [100,500,900,1300,1700;
    120,600,1080,1560,2040;
    140,700,1260,1820,2380;
    160,800,1440,2080,2720;
    180,900,1620,2340,3060];
%z = rand (4,20);
z = [1 2;3 4];  % small z for example
S = cellfun(@(x) x*z,mat2cell(x,ones(1,size(x,1)),ones(1,size(x,2))),'Uni',false)
S = 5x5 cell array
    {2x2 double}    {2x2 double}    {2x2 double}    {2x2 double}    {2x2 double}
    {2x2 double}    {2x2 double}    {2x2 double}    {2x2 double}    {2x2 double}
    {2x2 double}    {2x2 double}    {2x2 double}    {2x2 double}    {2x2 double}
    {2x2 double}    {2x2 double}    {2x2 double}    {2x2 double}    {2x2 double}
    {2x2 double}    {2x2 double}    {2x2 double}    {2x2 double}    {2x2 double}
% check
S{1,1} - x(1,1)*z
ans = 2x2
     0     0
     0     0
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<mw-icon class=""></mw-icon>
S{3,3} - x(3,3)*z
ans = 2x2
     0     0
     0     0
<mw-icon class=""></mw-icon>
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Bruno Luong 2024-4-7

编辑：Bruno Luong 2024-4-7

在 MATLAB Online 中打开

Shorter

x = [100,500,900,1300,1700;
    120,600,1080,1560,2040;
    140,700,1260,1820,2380;
    160,800,1440,2080,2720;
    180,900,1620,2340,3060];
%z = rand (4,20);
z = [1 2;3 4];  % small z for example
S = arrayfun(@(xij) xij*z,x,'Uni',false)
S = 5x5 cell array
    {2x2 double}    {2x2 double}    {2x2 double}    {2x2 double}    {2x2 double}
    {2x2 double}    {2x2 double}    {2x2 double}    {2x2 double}    {2x2 double}
    {2x2 double}    {2x2 double}    {2x2 double}    {2x2 double}    {2x2 double}
    {2x2 double}    {2x2 double}    {2x2 double}    {2x2 double}    {2x2 double}
    {2x2 double}    {2x2 double}    {2x2 double}    {2x2 double}    {2x2 double}

majid 2024-4-7

thank you for guiding me.

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Answer 2

Steven Lord 2024-4-7

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此回答的直接链接

https://ww2.mathworks.cn/matlabcentral/answers/2103811-how-to-multiply-every-single-element-in-a-matrix-to-entire-of-another-matrix#answer_1437546

在 MATLAB Online 中打开

If you're asking can you dynamically create variables with numbered names like x1, x2, x3, etc.? Yes.

Should you do this? The general consensus is no. That Discussions post explains why this is generally discouraged and offers several alternative approaches.

One such approach is to use pages of a 3-dimensional array.

x = [100,500,900,1300,1700;
    120,600,1080,1560,2040;
    140,700,1260,1820,2380;
    160,800,1440,2080,2720;
    180,900,1620,2340,3060];
z = rand (4,20);
zv = reshape(z, 1, 1, []);
result = x.*zv;

To check:

isequal(result(:, :, 42), x.*z(42))
ans = logical
   1

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majid 2024-4-7

编辑：majid 2024-4-7

thankyou for answering.

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Answer 3

Bruno Luong 2024-4-7

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https://ww2.mathworks.cn/matlabcentral/answers/2103811-how-to-multiply-every-single-element-in-a-matrix-to-entire-of-another-matrix#answer_1437581

编辑：Bruno Luong 2024-4-7

在 MATLAB Online 中打开

x = [100,500,900,1300,1700;
    120,600,1080,1560,2040;
    140,700,1260,1820,2380;
    160,800,1440,2080,2720;
    180,900,1620,2340,3060];
%z = rand (4,20);
z = [1 2;3 4];  % small z for example
[mx,nx] = size(x);
[mz,nz] = size(z);
C = mat2cell(kron(x,z),repelem(mz,mx),repelem(nz,nx))
C = 5x5 cell array
    {2x2 double}    {2x2 double}    {2x2 double}    {2x2 double}    {2x2 double}
    {2x2 double}    {2x2 double}    {2x2 double}    {2x2 double}    {2x2 double}
    {2x2 double}    {2x2 double}    {2x2 double}    {2x2 double}    {2x2 double}
    {2x2 double}    {2x2 double}    {2x2 double}    {2x2 double}    {2x2 double}
    {2x2 double}    {2x2 double}    {2x2 double}    {2x2 double}    {2x2 double}