From element-wise division, if the divisor has zero elements:.Warning: Matrix is singular to working precision.From matrix division, if a square A is singular:.If k 'bandden'.įull square, symmetric (Hermitian) positive definiteįor other cases (sparse, triangular and Hessenberg) MATLAB does not use LAPACK. A solution X is computed which has at most k nonzero components per column. The effective rank, k, of A, is determined from the QR decomposition with pivoting (see "Algorithm" for details). If A is an m-by- n matrix with m ~= 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 AX = B. A warning message prints if A is badly scaled or nearly singular. 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 AX = B computed by Gaussian elimination (see Algorithm for details). If A is a square matrix, A\B is roughly the same as inv(A)* B, except it is computed in a different way. A and B must have the same size, unless one of them is a scalar.īackslash or matrix left division. A./B is the matrix with elements A(i,j)/B(i,j). A and B must have the same size, unless one of them is a scalar. A.* B is the element-by-element product of the arrays A and B. A scalar can multiply a matrix of any size.Īrray multiplication.
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