Every square matrix A = [aij] of order n, can be associate to a number. Which can be real or complex. Such Number is called as a Determinant.
eg , given the following matrix A of order 2,
Order of the following matrix will be:
Det of A = 3*5 - 7*5
Determinant of Matrix of Order 1
Given the the matrix A of order 1 =
Since there's only one element in it, hence the DET of A = 3.
Determinant of Matrix of Order 2
Given the following matrix of Order 2:
DET of A = ( a11 * a22 ) - ( a12 * a21)
eg if Matrix B =
DET of B = ( 9*6 ) - ( 5*7 ) =
= 54-35 = 19