** \ Backslash or left division. **

** A\B is the matrix division of A into B, which is roughly the **

** same as INV (A)*B , except it is computed in a different way. **

** If A is an N-by-N matrix and B is a column vector with N **

** components, or a matrix with several such columns, then **

** X = A\B is the solution to the equation A*X = B computed by **

** Gaussian elimination. A warning message is printed if A is **

** badly scaled or nearly singular. A\EYE( SIZE (A)) produces the **

** inverse of A. **

** If A is an M-by-N matrix with M < or > N and B is a column **

** vector with M components, or a matrix with several such columns, **

** then X = A\B is the solution in the least squares sense to the **

** under- or overdetermined system of equations A*X = B. The **

** effective rank, K, of A is determined from the QR decomposition **

** with pivoting. A solution X is computed which has at most K **

** nonzero components per column. If K < N this will usually not **

** be the same solution as PINV (A)*B. A\EYE(SIZE (A)) produces a **

** generalized inverse of A. **

** **

** **

** / Slash or right division. **

** B/A is the matrix division of A into B, which is roughly the **

** same as B* INV (A) , except it is computed in a different way. **

** More precisely, B/A = (A'\B')'. See \. **

** **

** **

** ./ Array division. **

** B./A denotes element-by-element division. A and B **

** must have the same dimensions unless one is a scalar. **

** A scalar can be divided with anything. **

** **