Properties of Complex Conjugates

Properties of Complex Conjugates

zz 1

Properties of Complex Conjugates

zz 1

zz argarg 2

Properties of Complex Conjugates

zz 1

zz argarg 2

Properties of Complex Conjugates

zz 1

zz argarg 2

2

22 3

z

yxzz

Properties of Complex Conjugates

zz 1

zz argarg 2

2

22 3

z

yxzz

2121 4 zzzz

Properties of Complex Conjugates

zz 1

zz argarg 2

2

22 3

z

yxzz

2121 4 zzzz

2121 5 zzzz

Properties of Complex Conjugates

zz 1

zz argarg 2

2

22 3

z

yxzz

2121 4 zzzz

2121 5 zzzz

2

1

2

1 6zz

zz

2 that show ,3

26 If 22

yxiiiyxe.g.

2 that show ,3

26 If 22

yxiiiyxe.g.

iiiyx

326

2 that show ,3

26 If 22

yxiiiyxe.g.

iiiyx

326

13

26 2 iiiyx

2 that show ,3

26 If 22

yxiiiyxe.g.

iiiyx

326

13

26 2 iiiyx

iiiyx

326 2

2 that show ,3

26 If 22 yx

iiiyxe.g.

iiiyx

326

13

26 2 iiiyx

iiiyx

326 2

ii

3

26

2 that show ,3

26 If 22 yx

iiiyxe.g.

iiiyx

326

13

26 2 iiiyx

iiiyx

326 2

ii

3

26

23

26 2 iiiyx

2 that show ,3

26 If 22 yx

iiiyxe.g.

iiiyx

326

21Multiply

13

26 2 iiiyx

iiiyx

326 2

ii

3

26

23

26 2 iiiyx

2 that show ,3

26 If 22 yx

iiiyxe.g.

iiiyx

326

21Multiply

ii

iiiyxiyx

3

263

26 22

13

26 2 iiiyx

iiiyx

326 2

ii

3

26

23

26 2 iiiyx

2 that show ,3

26 If 22 yx

iiiyxe.g.

iiiyx

326

21Multiply

ii

iiiyxiyx

3

263

26 22

13

26 2 iiiyx

iiiyx

326 2

ii

3

26

23

26 2 iiiyx

4

19436 222

yx

2 that show ,3

26 If 22 yx

iiiyxe.g.

iiiyx

326

21Multiply

ii

iiiyxiyx

3

263

26 22

13

26 2 iiiyx

iiiyx

326 2

ii

3

26

23

26 2 iiiyx

4

19436 222

yx

2 22 yx

2 that show ,3

26 If 22 yx

iiiyxe.g.

iiiyx

326

21Multiply

ii

iiiyxiyx

3

263

26 22

13

26 2 iiiyx

iiiyx

326 2

ii

3

26

23

26 2 iiiyx

4

19436 222

yx

2 22 yx

Exercise 4H; 1 to 6