Page 105 - DMTH201_Basic Mathematics-1

Basic Mathematics – I

Notes 4 1 3

1 0 1
2 1 1
1
5 2 0

( 1)(0 2) 0(0 5) 1( 4 5)

2 0 1 3

2 1 1
0 2 1
2
1 5 0

2(0 5) 1(0 1) 1(0 2)

10 1 2 9

2 0 1
0 1 2
3
1 2 5
2( 5 4) 0(0 2) 1(0 1)

2 1 3

3
x 1
3
9
y 2 3
3

3
z 3 1
3

Example

a b 2 a 1 2 a 2 2 a b a b
2 2
1 1
Show that 1 1 = 2 2
a b a b a b a b
2 2 1 1 2 2 1 2
Solution:
a 1 b 1 a 1 a 2
Let D = a b b b
2 2 1 2

a 1 a 2 a 1 a 2 a 2 1 a 2 2 a b a b
2 2
1 1
2
D = b b b b 2 2 .
1 2 1 2 a b a b b 1 b 2
2 2
1 1

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