Subtraction between a matrix and a column vector

Question

Akshay Vivek Panchwagh 2022-4-5

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https://ww2.mathworks.cn/matlabcentral/answers/1689044-subtraction-between-a-matrix-and-a-column-vector

评论： Akshay Vivek Panchwagh 2022-4-12

So I have a matrix of the size 23x15 and a column vector of size 23x1. I need to subtract element 1 of the colum vector from the 1st row of the matrix, element 2 of the column vector from 2nd row of the matrix, and so on. Any suggestions about how I can do it?

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Answer 1

Riccardo Scorretti 2022-4-5

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Hi. If the matrix and the vector have compatible size (= like you mentioned), it is enough to use the minus operator:

A = rand(23,15);
x = rand(23,1);
A-x
ans = 23×15
    0.2139   -0.4738   -0.0324    0.2879   -0.5164   -0.5204   -0.2573   -0.1252   -0.6030    0.0119   -0.5568    0.0707    0.1965   -0.2185   -0.3107
   -0.3026    0.3745   -0.4007   -0.0694   -0.2514   -0.0244   -0.0126   -0.4829    0.1296    0.3859    0.1160    0.1024   -0.0164   -0.3397   -0.3895
   -0.0364   -0.2650   -0.0361   -0.1169   -0.1134    0.6802    0.5602    0.0069    0.1628   -0.2122   -0.0523    0.5581    0.6691    0.0580    0.4566
   -0.8499   -0.7361   -0.4907   -0.7858   -0.1153   -0.6816   -0.5459   -0.0587   -0.5956   -0.2459   -0.4201   -0.8757   -0.8312   -0.2901   -0.7761
   -0.1458    0.3076    0.4151    0.4332   -0.2664    0.0339   -0.4702    0.4185   -0.3688   -0.0325   -0.3356    0.3817    0.0343    0.1336   -0.4908
   -0.1485   -0.5956   -0.1521   -0.2995   -0.7787   -0.1461   -0.6266   -0.3964   -0.6241   -0.7282   -0.4468   -0.6754   -0.8928   -0.5799   -0.8771
   -0.8125    0.1077   -0.6755   -0.7532   -0.2350    0.1244   -0.8128   -0.2916   -0.5226   -0.2108   -0.3767   -0.0239   -0.7943   -0.7744   -0.4538
   -0.2816   -0.3594   -0.8926   -0.2823   -0.2469   -0.5546    0.0076   -0.3071   -0.8171   -0.3084   -0.6816   -0.9024   -0.6121    0.0152   -0.8946
    0.1406    0.3451    0.3059   -0.2132    0.3232   -0.3814    0.1598   -0.4034   -0.1477   -0.2525   -0.4202   -0.4624   -0.1376   -0.5925    0.3209
    0.6027    0.5138    0.2264    0.0285   -0.1912   -0.1324    0.5262    0.6078   -0.0720    0.4299    0.0051    0.4744    0.0725   -0.0732    0.4045