how does matrix division work in matlab?
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you can't divise a matrix by a matrix
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You see how it works ? It's element-by-element division.
A = [4 16 ; 36 64];
B = [2 4 ; 6 8];
A./B
Voss
2022-12-5
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Walter Roberson
2022-12-5
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Mathematically (but not in practice) if you have a column vector b and a square array A, then A*x = b is the same as saying that inv(A)*A*x = inv(A)*b but inv(A)*A is the identity matrix so you get to x = inv(A)*b
For non-square matrices A, instead of inv(A) you would use pinv(A)*b where pinv(A) is Moore-Penrose pseudo-inverse pinv
This is not what is actually computed. See https://www.mathworks.com/help/matlab/ref/mldivide.html#bt4jslc-6 for a flow-chart of the algorithms used.
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2022-12-5
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