Both det(A) and |A| represent the of the matrix A.
In mathematical notation, det(A) or |A| represents the determinant of matrix A. Consider an example of a 2* 2 matrix A and its determinant.
A= 1& 2 3& 4 [1 em] det(A)= 1( 4)- 2( 3)=- 2
Determinants have many practical applications in fields such as engineering, physics, and computer science. We use them to quickly gain some information about a matrix. For example, if a matrix has a nonzero determinant, then the matrix is invertible. Now we can complete the given statement.
Both det(A) and |A| represent the determinant of the matrix A.
