Why can I add a empty array to a scalar variable, but I cannot add an empty array to a vector?
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In MATLAB it is possible to add an empty array to a scalar variable, namely,
>> 5 + []
and this results in an empty array. However, adding an empty array to a vector results in a dimension mismatch, namely,
>> [2 3] + []
namely,
Error using +
Arrays have incompatible sizes for this operation.
Why can I add a empty array to a scalar variable, but I cannot add an empty array to a vector?
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MathWorks Support Team
2021-10-4
This behavior is stated in the documentation and follows the rules of implicit expansion, i.e., dimensions need to match or one of the dimensions must be 1 and the result will have the non-1 result as dimension. The following facts are valid for the aforementioned examples:
>> 5 + [] % 1x1 + 0x0 --> works and result is 0x0, since mismatches have a 1 to compensate.
>> [2 3] + [] % 1x2 + 0x0 --> does not work, since for the 2nd dim, 2 meets 0.
The corresponding documentation page where the implicit expansion is discussed is provided below,
The rules of implicit expansion are the same for empty arrays or arrays that have a dimension size of zero. The size of the dimension that is not equal to 1 determines the size of the output. This means that dimensions with a size of zero must be paired with a dimension of size 1 or 0 in the other array, and that the output has a dimension size of 0.
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