# Subtraction

The transpose of a matrix is also a matrix. The rows of the transpose are the columns of the original matrix and vice-versa.

- | Scalar | Row Vector | Column Vector | Matrix |
---|---|---|---|---|

Scalar | Subtracts the second scalar value from the first scalar value. | Subtracts each element in the row vector from the scalar. The resulting vector is the same size as the original vector. | Subtracts each element in the column vector from the scalar. The resulting vector is the same size as the original vector. | Subtracts each element in the matrix from the scalar. The resulting vector is the same size as the original matrix. |

Row Vector | Subtracts the scalar from each element in the row vector. The resulting vector is the same size as the original vector. | Requires vectors to be the same size. Subtracts each element in operand 2 from the corresponding element in operand 1. The resulting vector is the same size as the original vectors. | ||

Column Vector | Subtracts the scalar from each element in the column vector. The resulting vector is the same size as the original vector. | Requires vectors to be the same size. Subtracts each element in operand 2 from the corresponding element in operand 1. The resulting vector is the same size as the original vectors. | ||

Matrix | Subtracts the scalar from each element in the matrix. The resulting vector is the same size as the original matrix. | Requires matrices to be the same size. Subtracts each element in operand 1 from the corresponding element in operand 2. The resulting vector is the same size as the original matrices. |

Examples

```
2-3
ans = -1
[4 2 1] – 3
ans = [1 -1 -2]
[4 2 1] - [5 3 2]
ans = [-1 -1 -1]
```

Invalid Example

`[3 6 5] – [4 3; 6 5]`