# A_rdiv_Bt

A_rdiv_Bt(A, B)

For matrices or vectors \$A\$ and \$B\$, calculates \$A / Báµ€\$

## Examples

1. Calculate matrix division:

``````julia> A = [1 2 3; 4 5 6; 7 8 9];
julia> B = [2 0 1; 3 2 1; 1 1 1];
julia> A_rdiv_Bt(A, B)
3×3 Array{Float64,2}:
-1.0   1.0  0.0
2.0  -1.0  0.0
-1.0   1.0  0.0``````

This example calculates the matrix division of `A` by `Bᵀ`.

2. Calculate vector division:

``````julia> v1 = [1, 2, 3];
julia> v2 = [4, 5, 6];
julia> A_rdiv_Bt(v1, v2)
3×1 Array{Float64,2}:
-1.0
1.0
0.0``````

It calculates the division of the vector `v1` by `v2ᵀ`.

3. Handle edge cases with empty matrices:
``````julia> empty_matrix = zeros(0, 0);
julia> A_rdiv_Bt(empty_matrix, empty_matrix)
0×0 Array{Float64,2}``````

It correctly handles the case where both matrices are empty.

Common mistake example:

``````julia> A = [1 2; 3 4];
julia> B = [5 6];
julia> A_rdiv_Bt(A, B)
ERROR: DimensionMismatch("A has dimensions (2,2) but Bᵀ has dimensions (1,2)")``````

In this example, the dimensions of matrix `A` and the transpose of matrix `B` are not compatible for division. It's crucial to make sure that the dimensions are compatible before using `A_rdiv_Bt`.