Question

Can a matrix have multiple determinants?

Answer 1

Since the determinant is a scalar value that is a function of the entries of a square matrix.

Interchanging of rows or columns will change the sign of a determinant. The value of determinant of an identity matrix is 1.

Also, the magnitude of the determinant of a matrix is equal to the determinant of a transpose of the matrix.

Hence, a matrix cannot have multiple determinants.