Addition

Table 1.
+	Scalar	Row Vector	Column Vector	Matrix
Scalar	Adds the two scalar values.	Adds the scalar to each element in the row vector. The resulting vector is the same size as the original vector.	Adds the scalar to each element in the column vector. The resulting vector is the same size as the original vector.	Adds the scalar to each element in the matrix. The resulting vector is the same size as the original matrix.
Row Vector	Adds the scalar to each element in the row vector. The resulting vector is the same size as the original vector.	Requires vectors to be the same size. Adds each element in operand 1 to the corresponding element in operand 2. The resulting vector is the same size as the original vectors.	Each row/column vector is implicitly replicated until the two arguments have the same dimensions. Regular matrix addition is then performed.	The row vector is implicitly replicated until the two arguments have the same number of rows. Regular matrix addition is then performed.
Column Vector	Adds the scalar to each element in the column vector. The resulting vector is the same size as the original vector.	Each row/column is implicitly replicated until the two arguments have the same dimensions. Regular matrix addition is then performed.	Requires vectors to be the same size. Adds each element in operand 1 to the corresponding element in operand 2. The resulting vector is the same size as the original vectors.	The column vector is implicitly replicated until the two arguments have the same number of columns. Regular matrix addition is then performed.
Matrix	Adds the scalar to each element in the matrix. The resulting vector is the same size as the original matrix.	The row vector is implicitly replicated until the two arguments have the same number of rows. Regular matrix addition is then performed.	The column vector is implicitly replicated until the two arguments have the same number of columns. Regular matrix addition is then performed.	Requires matrices to be the same size. Adds each element in operand 1 to the corresponding element in operand 2. The resulting vector is the same size as the original matrices.

Examples

1 + 1
ans = 2 
3 + [2 5 2]
ans = [5 8 5] 
[2 5; 6 2] + [8 3; 6 7]
ans = [10 8; 12 9]

Invalid examples:

[5 4 2] + [4 3]

Comments

Sparse matrices are supported for this operation. The sum of two sparse matrices will also be sparse. The sum of a sparse matrix and a full matrix is a full matrix.

The implicit replication of a vector to fill other dimensions is a generalization of operating on a scalar/vector pair. This capability is not yet available for multidimensional and sparse matrices.