Determinant Function
Created by:
Group 3
1. ADRIANA DWI ISMITA 06111008032
2. GIANI 06111008001
3. META APRIANI 06111008030
4. RIAN INDRA 06111008007
5. MICHAEL AMIN M 0611008015
DefiniTion of the determinant

 Eg A is square matrix, then :

Determinant function of A is
det(A)
What is determinant ?
 Sum of all entries
 Form by product of permutation
 Not in the same line or column
 Each product have a mark (positive or
  negative)

Let’s see the example !
Determinant of Matrix order 2 x 2
   




 Product of   Permutations   Even   Product of
  elementer    associated     or    elementer
       s                     Odd     marked
                  (1,2)      even
                  (2,1)      odd

Determinant of matrix order 3 x 3
Product     permutati    Even or   Product
   of          ons        Odd         of
elementer   associate              elementer
                d                   marked
             (1, 2, 3)    even
             (1, 3, 2)    odd
             (2, 1, 3)    odd
             (2, 3, 1)    even
             (3, 1, 2)    even
             (3, 2, 1)    odd
Sarrus Method’s

For matrix order 3x3, we can use this
method
So ,
question
1.

     solusion :




2.
Solusion :
How about matrix order 4x4 and
the other ?

Can we use sarrus method ?
THE CONCLUSION IS DETERMINANT
OFTEN WRITTEN SYMBOLICALLY AS
  

Determinant

  • 1.
    Determinant Function Created by: Group3 1. ADRIANA DWI ISMITA 06111008032 2. GIANI 06111008001 3. META APRIANI 06111008030 4. RIAN INDRA 06111008007 5. MICHAEL AMIN M 0611008015
  • 2.
    DefiniTion of thedeterminant Eg A is square matrix, then : Determinant function of A is det(A)
  • 3.
    What is determinant?  Sum of all entries  Form by product of permutation  Not in the same line or column  Each product have a mark (positive or negative) Let’s see the example !
  • 4.
    Determinant of Matrixorder 2 x 2  Product of Permutations Even Product of elementer associated or elementer s Odd marked (1,2) even (2,1) odd
  • 5.
  • 6.
    Determinant of matrixorder 3 x 3 Product permutati Even or Product of ons Odd of elementer associate elementer d marked (1, 2, 3) even (1, 3, 2) odd (2, 1, 3) odd (2, 3, 1) even (3, 1, 2) even (3, 2, 1) odd
  • 7.
    Sarrus Method’s For matrixorder 3x3, we can use this method
  • 8.
  • 9.
    question 1. solusion : 2.
  • 10.
  • 11.
    How about matrixorder 4x4 and the other ? Can we use sarrus method ?
  • 12.
    THE CONCLUSION ISDETERMINANT OFTEN WRITTEN SYMBOLICALLY AS 