complex question (1 Viewer)

[bos1234]

Prove the following results about complex conjugates


--------- - -
z1 + z2 = z1 + z2 - the separate lines spose 2 b on top of z1 and z2 on the right hand side of eqn

qquote this message and u should c it.. properly

its in the old 4 unit cambridge book(arnold and arnold blue colour) on page 31 qn 4(a)

 

[bos1234]

Prove the following results about complex conjugates


--------- - -
z1 + z2 = z1 + z2

qquote this message and u should c it.. properly

its in the old 4 unit cambridge book(arnold and arnold blue colour) on page 31 qn 4(a)

..

 

[haque]

express in x+iy form and then do LHS andRHS-show that they are equal and u get the result(i think that's what u were asking)

 

[bos1234]

so z1 and z2 both = x+iy

 

[Raginsheep]

z₁ = x₁ + iy₁

z₂ = x₂ + iy₂

 

[Riviet]

........._______
LHS = z1 + z2
..._______________
= x1 + iy1 + x2 + iy2
....________________
= (x1 + x2) + (y1 + y2)i

= (x1 + x2) - (y1 + y2)i

= (x1 - iy1) + (x2 - iy2)
...__....__
= z1 + z2

= RHS