Page 96 - DMTH201_Basic Mathematics-1

Unit 4: Determinants

Cofactor of 0 = + (21 4) = 17 Notes
Cofactor of 3 = (2 0) = 2
Cofactor of 1 = + (1 0) = 1 II column
Cofactor of 5 = ( 7 + 8) = 1

Cofactor of 4 = + ( 10 0) = 10
Cofactor of 7 = ( 5 0) = 5 III column
Cofactor of 1 = + ( 1 + 6) = 5

36 2 10
Adj A 23 1 5
17 1 5

36 2 10
Adj A 1
A 1 23 1 5
| | 10
A
17 1 5

18 1
1
5 5
23 1 5
10 10 10
17 1 1
10 10 2

0 2 4
7. Let A 1 7 3
2 5 4

A
| | 0( 28 15) 2( 4 6) 4(5 14)
0 20 36 56 0
Cofactor of 0 + ( 28 15) = 43

Cofactor of 2 = ( 4 6) = 10 I column
Cofactor of 4 = + (5 14) = 9
Cofactor of 1 = (8 20) = 12
Cofactor of 7 = + (0 8) = 8 II column

Cofactor of 3 = (0 + 4) = 4
Cofactor of 2 = + ( 6 28) = 34
Cofactor of 5 = (0 4) = 4 III column
Cofactor of 4 = + (0 + 2) = 2

LOVELY PROFESSIONAL UNIVERSITY 89