At_ldiv_B

At_ldiv_B(A, B)

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

Examples

1. Calculate the transpose-product of matrices:

``````julia> A = [1 2 3; 4 5 6];
julia> B = [7 8; 9 10; 11 12];
julia> At_ldiv_B(A, B)
3×2 Array{Int64,2}:
58   64
139  154
220  244``````

This example calculates the transpose-product of matrices `A` and `B`.

2. Compute the transpose-product of a vector and a matrix:

``````julia> v = [1, 2, 3];
julia> M = [4 5 6; 7 8 9];
julia> At_ldiv_B(v, M)
2-element Array{Int64,1}:
18
21``````

It calculates the transpose-product of vector `v` and matrix `M`.

3. Handle the case of a single-element matrix:
``````julia> A = [5];
julia> B = [2];
julia> At_ldiv_B(A, B)
1-element Array{Int64,1}:
10``````

It correctly handles the case where both `A` and `B` are single-element matrices.

Common mistake example:

``````julia> A = [1 2 3; 4 5 6];
julia> B = [7 8];
julia> At_ldiv_B(A, B)
ERROR: DimensionMismatch("matrix A has dimensions (2,3), vector B has length 2")``````

In this example, the dimensions of `A` and `B` are not compatible for matrix multiplication. It's important to ensure that the number of columns in `A` matches the number of elements in `B` for the transpose-product calculation.