Question

# Which one of the following statements is true

- Non- singular square matrix does not have a unique inverse
- Determinant of a non-singular matrix is zero
- If
= A , '/> then *A* is a square matrix
- If , then , where

*A*is a square matrix## The correct answer is: If then *A* is a square matrix

### If , then order of will be same to order of *A*. So it is a square matrix.

### Related Questions to study

### The inverse of is

### The inverse of is

### The inverse of matrix is

A real number multiplicative inverse is the number that, when multiplied by the original number, produces 1 (the identity). Because a× 1/a= 1 is the multiplicative inverse of a. When the inverse of a matrix is multiplied by a given matrix, it produces a multiplicative identity. For example, the inverse of a matrix A is A-1 and A.A-1=A-1.A=I, where I is the identity matrix.

A square matrix with one on the diagonal and zeros everywhere else is known as an identity matrix. Think of the identity matrix as the matrix's prime number.

An invertible matrix is one for which it is possible to calculate the inverse matrix and for which the determinant is not zero.

### The inverse of matrix is

A real number multiplicative inverse is the number that, when multiplied by the original number, produces 1 (the identity). Because a× 1/a= 1 is the multiplicative inverse of a. When the inverse of a matrix is multiplied by a given matrix, it produces a multiplicative identity. For example, the inverse of a matrix A is A-1 and A.A-1=A-1.A=I, where I is the identity matrix.

A square matrix with one on the diagonal and zeros everywhere else is known as an identity matrix. Think of the identity matrix as the matrix's prime number.

An invertible matrix is one for which it is possible to calculate the inverse matrix and for which the determinant is not zero.