How to subtract each column of a matrix from a column vector?

How to subtract each column of a matrix from a column vector?

Answer 1

[James Tursa]

Just do a usual subtraction and let MATLAB implicit expansion kick in:

M = your matrix
v = your column vector
result = v - M; % implicit expansion

Answer 2

[Image Analyst]

If you don't have a version that has implicit conversion yet, you can do this, where v is your vector and m is your matrix.

% Create sample data.
v = randi(99, 3, 1)

v = 3×1

28 23 78

m = randi(99, 3, 3)

m = 3×3

82 23 62 42 48 78 67 16 83

[rows, columns] = size(m);
diffMatrix = zeros(rows, columns);
% Subtract each column of m one at a time from v.
for col = 1 : columns
    diffMatrix(:, col) = v - m(:, col);
end
% Show result in command window:
diffMatrix

diffMatrix = 3×3

-54 5 -34 -19 -25 -55 11 62 -5