Left array division
If the sizes of
B are compatible,
then the two arrays implicitly expand to match each other. For example, if one
B is a scalar, then the scalar is
combined with each element of the other array. Also, vectors with different
orientations (one row vector and one column vector) implicitly expand to form a
Create two numeric arrays,
B, and divide the second array,
B, into the first,
A = ones(2,3); B = [1 2 3; 4 5 6]; x = B.\A
x = 2×3 1.0000 0.5000 0.3333 0.2500 0.2000 0.1667
Create a scalar,
c, and divide it by a numeric array. The result is the same size as the array.
c = 2; D = [1 2 3; 4 5 6]; x = D.\c
x = 2×3 2.0000 1.0000 0.6667 0.5000 0.4000 0.3333
Create a 1-by-2 row vector and 3-by-1 column vector and divide them.
a = 1:2; b = (1:3)'; b .\ a
ans = 3×2 1.0000 2.0000 0.5000 1.0000 0.3333 0.6667
The result is a 3-by-2 matrix, where each (i,j) element in the matrix is equal to
b(i) .\ a(j):
Operands, specified as scalars, vectors, matrices, or multidimensional
B must either be
the same size or have sizes that are compatible (for example,
A is an
B is a scalar or
N row vector). For more
information, see Compatible Array Sizes for Basic Operations.
B is an integer data
type, then the other input must be the same integer type or be a
scalar double. Operands with an integer data type cannot be
Complex Number Support: Yes
The element-wise operators
related to each other by the equation
A./B = B.\A.
When dividing integers, use
more rounding options.
MATLAB® does not support complex integer division.
Behavior changed in R2016b
Starting in R2016b with the addition of implicit expansion, some combinations of arguments for basic operations that previously returned errors now produce results. For example, you previously could not add a row and a column vector, but those operands are now valid for addition. In other words, an expression like
[1 2] + [1; 2] previously returned a size mismatch error, but now it executes.
If your code uses element-wise operators and relies on the errors that MATLAB previously returned for mismatched sizes, particularly within a
catch block, then your code might no longer catch those errors.
For more information on the required input sizes for basic array operations, see Compatible Array Sizes for Basic Operations.
Behavior changed in R2020b
Starting in R2020b,
ldivide supports implicit expansion when the
duration arrays. Between R2020a and R2016b,
implicit expansion was supported only for numeric data types.
This function fully supports tall arrays. For more information, see Tall Arrays.
Usage notes and limitations:
If you use
ldivide with single type and double
type operands, the generated code might not produce the same result as
MATLAB. See Binary Element-Wise Operations with Single and Double Operands (MATLAB Coder).
Usage notes and limitations:
64-bit integers are not supported.
For more information, see Run MATLAB Functions on a GPU (Parallel Computing Toolbox).
This function fully supports distributed arrays. For more information, see Run MATLAB Functions with Distributed Arrays (Parallel Computing Toolbox).