algebra

[lana shareef]

does (A inverse ) exist for non square matrix?

 

[Ishuda]

does (A inverse ) exist for non square matrix?

In general matrix inverses are not defined for non-square matrices. However one can define left or right inverses depending on the matrix. For example the column matrix C
\(\displaystyle C\, =\, \begin{pmatrix}0.5\\0.5\end{pmatrix}\)
has the left inverse row matrix R
\(\displaystyle R\, =\, \begin{pmatrix}1.0&1.0\end{pmatrix}\)
since
R C = 1
In this particular case there can be no right inverse. For more details, see
https://en.wikipedia.org/wiki/Invertible_matrix
for example