Page 66 - DMTH201_Basic Mathematics-1

Unit 3: Matrix

Notes
1 2 1 0 2 3 4 0 1 4
2A 3B 2 3
3 4 4 7 6 12 8 21 18 29
1 2 1 0 2 3 4 0 5 4
2A 3B 2 3
3 4 4 7 6 12 8 21 6 13

1 2 1 0 5 1 10 0 4 10
5A B 5
3 4 4 7 15 4 20 7 19 27

1 2 1 0 1 7 2 0 8 2
A 7B 7
3 4 4 7 3 28 4 49 25 45

1 5 2 1
Example: If A , B verify
0 6 3 8
Verify (A B ) A B and (A B ) A B .

Solution:
1 5 2 1
A , B
0 6 3 8

1 0 2 3
A , B
5 6 1 8

1 5 2 1 1 2 5 1 1 6
A B
0 6 3 8 0 3 6 8 3 2

1 3
(A B ) ...(1)
6 2

1 0 2 3 1 2 0 3
A B
5 6 1 8 5 1 6 8

1 3
A B ...(2)
6 2

From (1) and (2) ; A( B) A B

1 5 2 1 1 2 5 1 3 4
A B
0 6 3 8 0 3 6 8 3 14

3 3
(A B ) ...(3)
4 14

1 0 2 3 1 2 0 3
A B
5 6 1 8 5 1 6 8

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