How Does Matrix Division Work in Matlab?

[rootX]

>> A1

A1 =

4 1 -2
5 1 3
4 0 -1

>> V

V =

1 2 3

>> A1/V

ans =

-0.0000
1.1429
0.0714

>>

Question: what did it do?
A1 is a 3x3 matrix

 

[chroot]

From the documentation:

/: Slash or matrix right division. B/A is roughly the same as B*inv(A). More precisely, B/A = (A'\B')'. See the reference page for mrdivide for more information.

- Warren

 

[oswaler]

and V is a 1x3 vector. When we divide A1 by V, Matlab performs matrix division and outputs a 3x1 vector result. This means that each element in A1 is divided by each element in V, resulting in a new matrix with the same dimensions as the first one. In this case, the first element of the new matrix is obtained by dividing the first row of A1 by the first element of V, the second element of the new matrix is obtained by dividing the second row of A1 by the second element of V, and so on. This operation can be useful for solving systems of linear equations or for scaling data.