there are pseudo inverses for non-square matrices
a square matrix has an inverse only if the original matrix has full rank which implies that no vector is annihilated by the matrix as a multiplicative operator
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Only square matrices have inverses.
A determinant is defined only for square matrices, so a 2x3 matrix does not have a determinant.Determinants are defined only for square matrices, so a 2x3 matrix does not have a determinant.
The square matrix have determinant because they have equal numbers of rows and columns. <<>> Determinants are not defined for non-square matrices because there are no applications of non-square matrices that require determinants to be used.
The determinant is only defined for square matrices.
Yes. Those would be numbers such as 5 and -5, which only have opposite signs - they are called additive inverses (of one another).