Question

A square matrix that does not have an inverse is most specifically called a(n)

Answer 1

Answer:

A square matrix whose inverse is not defined is called a:

Singular Matrix.

Step-by-step explanation:

Singular matrix--

A matrix is said to be singular if and only if it's determinant is zero.

Such a matrix does not have a matrix inverse.

Since, the inverse of a square matrix A is given by:

$A^{-1}=\dfrac{1}{|A|}\cdot (adj A)$

where $A^{-1}$ denote the inverse.

|A| denote the determinant of a matrix A.

(adj A) denote the adjoint matrix of A.

Now if the denominator i.e. |A| is zero then the term $A^{-1}$ is not defined.

Answer 2

It's is called a singular.