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1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 | LEFTDIVIDE LEFTDIVIDE Matrix Equation Solver/Divide Operator
Usage
The divide operator \ is really a combination of three
operators, all of which have the same general syntax:
Y = A \ B
where A and B are arrays of numerical type. The result Y depends
on which of the following three situations applies to the arguments
A and B:
1. A is a scalar, B is an arbitrary n-dimensional numerical array, in which case the output is each element of B divided by the scalar A.
2. A,B are matrices with the same number of rows, i.e., A is of size M x K, and B is of size M x L, in which case the output is of size K x L.
The output follows the standard type promotion rules, although in the first two cases, if A and B are integers, the output is an integer also, while in the third case if A and B are integers, the output is of type double.
A few additional words about the third version, in which A and B are matrices. Very loosely speaking, Y is the matrix that satisfies A * Y = B. In cases where such a matrix exists. If such a matrix does not exist, then a matrix Y is returned that approximates A * Y \approx B.
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