Hallo
I would like to pose this question:
What is the name of a square matrix with:
(i) ones in its diagonal
(ii) all other entries in each row are the same
Thank you
First check $\displaystyle \det{A}$ to see if a solution exists.
If it exists, then premultiply both sides by $\displaystyle A^{-1}$ to give
$\displaystyle A^{-1}A\mathbf{x} = A^{-1}B$
$\displaystyle I\mathbf{x} = A^{-1}B$
$\displaystyle \mathbf{x} = A^{-1}B$.