Determinants


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

Det A=-20


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:

A = 


DET of A = ( a11 * a22 ) - ( a12 * a21)

eg if Matrix B = 

DET of B = ( 9*6 ) - ( 5*7 ) =

                =    54-35 = 19





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