Right Matrix Division
Right Matrix Division (B/A) is defined as solving the equation xA = B.
Depending on whether A is square, under determined, or over determined, the way to solve
this solution is different. When A is square, x = B*inv(A). If A is over
determined, the least squares solution is produced. If A is underdetermined, the least
squares solution with the minimum norm is produced.
| / | Scalar | Row Vector | Column Vector | Matrix |
|---|---|---|---|---|
| Scalar | Divides the first by the second scalar. | x = B/A solves xA = B using right matrix division. | ||
| Row Vector | Divides each index of the row vector by the scalar, resulting in a row vector the same size as the original vector. | x = B/A solves xA = B using right matrix division. | x = B/A solves xA = B using right matrix division. | |
| Column Vector | Divides each index of the column vector by the scalar, resulting in a column vector the same size as the original vector. | x = B/A solves xA = B using right matrix division. | ||
| Matrix | Divides each index of the column vector by the scalar, resulting in a column vector the same size as the original vector. | x = B/A solves xA = B using right matrix division. | x = B/A solves xA = B using right matrix division. |
Examples
3 / 2
ans =1.5
[6 4 2] / 3
ans = [2 1.3333 0.6667]
[5 4 3] / [4 6 3]
ans = 0.86885Invalid examples:
[7 3 4] / [6; 9; 9]