This presentation is about the basics of the DETERMINANT mathematical concept. Its DETERMINANT PPT is includes 1. Introduce DETERMINANT 2.Properties of DETERMINANT

1. DETERMINANT
PRESENTED BY:-
GROUP-A
ROHAN SINGHA,RAHUL DEY, CHANDARNI SHATRADHAR ,PANKAJ SAHU, TANMOY PANDA,
YOGESH KUMAR
BBA(H) 2ND SEMESATAR 1ST YEAR
EMINENT COLLEGE OF MANAGEMENT AND TECHNOLOGY

2. INTRODUCE DETERMINANT:-
 The Determinant is denoted by this symbol
 Determinant define as order of 2,3 and 1 successively.
 As a example of First order determinant 15 = 15
 Second order of Determinant
3 4
5 6
=(3× 6) − 4 × 5
=18-20
=-2
 Third order of Determinant
2 3 2
2 3 2
3 4 2
=2
3 2
4 2
-3
2 2
3 2
+2
2 3
3 4
= 2(6−8) − 3 4 − 6 + 2 8 − 9
=-4+6-2
=0

3. PROPERTIES OF DETERMINANT
 Property:-1
The value of a determinant is unaltered if the determinant is
transposed, i.e. if rows and columns are interchanged.
625 564 −64
−560 360 257
951 −960 842
=
625 −560 951
564 360 −960
−64 257 842

4.  Property:-2
The value of a determinant is unaltered but the sign is
altered if two adjacent rows and columns are
interchanged.
5 2 1
41 578 2325
4114 5254 4574
= -
2 5 1
578 41 2325
5254 4114 4574

5.  Property:-3
If all the elements of one row or one column are
multiplied by a number then the value of the
determinant is multiplied by that number.
2596 3244 5230
525 658 53
25 4154 4578
= 2
1298 1622 2615
525 658 53
25 4154 4578

6.  Property:-5
If each element of a row or column is expressed as the sum
of two numbers then the determinant can be expressed as
sum of two determinants.
𝑎 + 𝑥 𝑏 𝑐
𝑑 + 𝑦 𝑒 𝑓
𝑔 + 𝑧 ℎ 𝑖
=
𝑎 𝑏 𝑐
𝑑 𝑒 𝑓
𝑔 ℎ 𝑖
+
𝑥 𝑏 𝑐
𝑦 𝑒 𝑓
𝑧 𝑔 ℎ

7.  Property:-6
If two rows or columns of a determinant are
identical then the value of the determinant is 0.
4556 2685 4556
1285 3565 1285
598 2356 598
=0

8. THANK
YOU
ANY QUESTION
AND
SUGGESTION