Page 71 - DMTH201_Basic Mathematics-1
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Basic Mathematics – I
Notes
2 4
Example: If A , find ( A ) 2 A . I
4 1
Solution:
22 44 2 2 4 4
AA , AA
4
44 11 4 1 1
2 4 2 4
(A ) 2 A A
4 1 4 1
4 16 8 4
8 4 16 1
12 12
(A ) 2
12 15
2 4
A
4 1
1 0
I
0 1
12 2 1 12 4 0 13 8
(A ) 2 A I
12 4 0 15 1 1 8 15
3 4
Example: If A , find A 3 .
1 1
Solution:
3 4 3 4
A 2
1 1 1 1
9 4 12 4 13 8
3 1 4 1 2 5
13 8 3 4
A 3 A 2 .A
2 5 1 1
39 8 52 8
6 5 8 5
47 44
A 3
11 3
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