# A square matrix is called singular if its

A square matrix is called singular if its

### Right Answer is: Determinant is zero

#### SOLUTION

• A square matrix that is not invertible is called singular or degenerate.
• A square matrix is singular if and only if its determinant is 0.
• Singular matrices are rare in the sense that a square matrix randomly selected from a continuous uniform distribution on its entries will almost never be singular.
• In linear algebra, an n-by-n square matrix A is called invertible (also nonsingular or nondegenerate) if there exists an n-by-n square matrix B such that
AB = BA = In

If we assume that,

A and B are two matrices of the order, n x n satisfying the following condition:

AB = I = BA

Where I denote the identity matrix whose order is n.

Then, matrix B is called the inverse of matrix A.

Therefore, A is known as a non-singular matrix.

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